Your school band is performing a concert. Tickets cost $3 for students and $5 for adults. A total of 125 people attended the concert for a total ticket sales of $475. Write and solve a system of equations to find the number of students and adults that attended the concert. Make sure to write your answer in a complete sentence.

Answers

Answer 1

Given :

Tickets cost $3 for students and $5 for adults.

A total of 125 people attended the concert for a total ticket sales of $475.

To Find :

The number of students and adults that attended the concert.

Solution :

Let, number of students and adults that attended the concert is x and y.

Mathematical equation of given conditions :

x + y = 125    ....1)

3x + 5y = 425   ....2)

Putting value of x from 1 to equation 2 is :

3( 125 - y ) + 5y = 425

375 - 3y + 5y = 425

2y = 50

y = 25

x = 125 - 25

x = 100

Therefore, number of students and adults that attended the concert is 100 ans 25 respectively.

Hence, this is the required solution.


Related Questions

The Garcia family started the day with 2 gallons of milk. They drank 111 quart of milk for breakfast and 3 pints for lunch.
How many pints of milk did the Garcia family have left after lunch?

Answers

3 pints

There are 8 pints of milk in 1 gallon. There is also 4 quarts in 1 gallon. So each quart is 2 pints.
After breakfast they had 3 quarts of the original gallon left since 4 - 1 = 3.
3 quarts is the same as 6 pints. They drank 3 pints at lunch. This means 6 - 3 = 3. After lunch, there were 3 pints left.

Maria wants to buy a new phone researching realized that the best price and 147.86 US dollars at the time of purchase it still achieved a 10% discount which and the amount paid by maria already with the discount
put the math account please

Answers

Answer:

0.6763154335

Step-by-step explanation:

because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.

Which equation is a line that passes through the points (4, 5) and (0, -3)?

Answers

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-5}{0-4}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = 2x - 3 ← equation of line

1/4 x 2 2/3, what is the product? (In fraction)

Answers

1/4 * 8/3 = 8/12 = 2/3

Answer:

8/12

Step-by-step explanation:

you want to write out your problem so it is

1/4 * 2 2/3

then you would want to change your 2nd fraction into an improper fraction (i think.  i don't remember the correct term)

so you would multiply the denominator by the whole number on the side and then add the numerator to it

2 2/3 would them become 8/3 (you keep the denominator the same through the process)

so then you would multiply

1/4 by 8/3

multiply across and you get 8/12

Im not a very good explainer but i hope i helped :)

3x + 7 <= 8x - 3
Please I need help

Answers

Hopefully this help I am doing the same question online

I have 1 word problem and a math problem. (word prob)A light-year is the distance that light travels in a year and is equivalent to 9.461 * 10^12. Write this distance in standard form.

(math prob) Order the list of numbers from least to greatest.
8.5*10^12,3.6*10^8,5.85*10^-3, 2.5*10^-1,8.5*10^8. ( This ^ means there are square roots for the numbers).



My math class is real soon. Pls, answer them. Thanks!!

Answers

Answer:

1. 9461000000000

move the desimal in 9.461 12 places to the right to get:

9461000000000

2.

5.85 x 10^-3,

2.5 x 10^-1,

3.6 x 10^8,

8.5 x 10^8,

8.5 x 10^12

the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal

IM GONNA RUn OuT Of PoInTs HeLp Me tho

Loves you's

(Find x Answer to get 5 stars. a thanks, and brainliest)

[ Happy Thanksgiving Eat yo Turkey boi]

Answers

Answer:

I recommend using m a t h w a y . c o m

Step-by-step explanation:

its the best, and happy thanksgiving

Answer:

1 = 3 ( None )

Step-by-step explanation:

There is no x.

What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?

Answers

Answer:

9/10

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

right on EDG2020 trust me:P

When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.

Answers

Answer:

When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.

Step-by-step explanation:

Please help and If you can have a good night

Answers

Answer:

Please help and If you can have a good night

SSS

what is 76.385 + 8.93

Answers

85.315
Hope this helps!!!

Evaluate x/4 for x=48

Answers

Hey there!

If x = 48

48/4 = 12 because 12 • 4 equals 48

Answer: 12

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

x=8

Step-by-step explanation:

{x}{4}x=48

{x^2}{4}=48

{4x^2}{4}=48\

Who’s trying to help?

Answers

Answer:

the first one is 185 over 24 in the exact form

Step-by-step explanation:

A creek is rising at a rate of 2 inches per hour. If the creek raises more than 3 feet, it will exceed flood stage. How long can the river rise at this rate without exceeding flood stage? (Remember there are 12 inches in a foot.) *

Answers

Answer:

16 hours

because in 16 hours 2 inches per hour it will overflow

Mrs. Smith wants to purchase new markers for
her class. She compares prices at four different
stores, Which store sells markers for the lowest
price per marker?

A.Large lots:10 for $2.50

B.Pay less:20 for $4.00

C.office mart:30 for $5.50

D.save more:40 got $9.50

Answers

Answer:

off course D

Step-by-step explanation:

follow me say a thanks mark me branliest

HELPPPPPP!!!!
So far this month Aaron calculated that he will earn $40 in commission for his $500 in product sales. If Aaron would like for his commission to be $320, how much will his product sales need to be?

Answers

Answer:

$4000 in product sales

Step-by-step explanation:

[tex]\frac{40}{500} =\frac{320}{x} = 4000[/tex]

Answer:

$4000

Step-by-step explanation:

i) Calculate if $1 = ? commission

500/40 = $12.5

$1 = $12.5 commission

ii) If the commission $320,

320×12.5=4000

His product sales need to be $4000

please help, this is honors geometry, I need this done as soon as possible

Answers

Answer:

See Explanation

Step-by-step explanation:

Since both the arcs centered at A and B are drawn as radius AB.

Therefore, AB = BC = AC

So, triangle ABC will be an equilateral triangle.

Since, AB = 5 CM

THEREFORE,

AC = 5 CM

BC = 5CM

Measure of each angle of equilateral triangle is 60°

Therefore,

Angle A = 60°

Angle B = 60°

Angle C = 60°

Solve for x: 9(x + 4) = 1 + 2x *

Answers

Answer:

x = -5

Step-by-step explanation:

9(x+4)=1+2x

9x+36 = 1 + 2x

35 = -7x

Divide

-5 = x

x= -5

[tex] \: \: \: \: \: \: \: 9(x + 4) = 1 + 2x \\ \\ = > 9x + 36 = 1 + 2x \\ \\ = > 9x - 2x = 1 - 36 \\ \\ = > 7x = ( - 35) \\ \\ = > x = (- \frac{35}{7} ) \\ \\ = > x = \green{\boxed{ - 5}}[/tex]

how many whole numbers lie between √ 8 and √ 80​

Answers

Answer:

There are 5 whole numbers.

Step-by-step explanation:

3,4,5,6,7

Answer:

6

Step-by-step explanation:

√ 8 < √ 9 = 3

and

√ 80​ < √ 81 = 9

Whole numbers between √8 and √80​ are:

3, 4, 5, 6, 7 and 8 - total 6 numbers

Can someone help me with the question in the image?

Answers

Step-by-step explanation:

m< I = m < 2 = m < 3

7y+16 = 2X

7y - 2x +16 = O ............I

7y +16 = 4X _30

7y -4 x + 46 = 0 ...............2

solve eq I,2

2 X - 30= o

X= 15

substitute in I

7X= 14

y = 2

Deduce the square root of 7+4√3

Answers

       (っ◔◡◔)っ ♥ Hey Honey Here! ♥♥answer♥

2 -[tex]\sqrt{3}[/tex]

♥step by step♥

7-4[tex]\sqrt{3}[/tex]

=7-2[tex]\sqrt{2x3}[/tex]

=7-2[tex]\sqrt{12}[/tex]

=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )

=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²

∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]

♥plz give me brain list it would really help a lot!

                   ♥  お力になれて、嬉しいです

Elena is playing a dice game with her father. She will win if she DOES NOT roll a 1, 3, or 6. Find the probability that Elana wins on her next roll.

Answers

Answer:

The probability that she was on her next roll is 1/2

Step-by-step explanation:

If she does not roll 1,3 or 6, she wins

So if she rolls 2,4 and 6 , she wins

The probability of rolling each is 1/6 each

So the probability of rolling any of the three will be:

1/6 + 1/6 + 1/6 = 3/6 = 1/2

A circle has a radius 30 cm. What is the area? Show your
work.

Answers

Answer:

I believe the area = 2,826

Step-by-step explanation:

A=pie×radius²

A= 3.14×30²

A=3.14×900

A=2,826

If m 3 = 74 degrees, find each measure

Answers

Answer:

A

Step-by-step explanation:

Answer:

m∠4 = m∠3 = 74° (vertically opposite angles are equal)

m∠8 + m∠3 = 180° (linear pair)

m∠8 + 74° = 180°

m∠8 = 180° - 74°

m∠8 = 106°

m∠7 = m∠8 = 106° (vertically opposite angles are equal)

m∠2 = m∠3 = 74° (alternate interior angles are equal)

m∠1 = m∠2 = 74° (vertically opposite angles are equal)

m∠6 + m∠1 = 180° (linear pair)

m∠6 + 74° = 180°

m∠6 = 180° - 74°

m∠6 = 106°

m∠5 = m∠6 = 106° (vertically opposite angles are equal)

hope it helps you❤

PLEASE HELP ASAP

Name the special segment

Answers

Answer:

altitude

Step-by-step explanation:

solve for x:x+3.17=12.78

Answers

x=9.61 you subtract 3.17 from 12.78 and get 9.61

a mixture calls for 1 cup of lemonade and 3 cups of iced tea ratio of lemonade to iced tea

Answers

lol whats the question?

The formula for the time it takes to travel a distance of d at an average speed v is d/v

Tessa ran a 100-meter dash at a speed of about 7.5 meters per second.
What calculation will give us the estimated duration Tessas dash in seconds?

A.) 7.5/100

B.) 100/7.5

C.) 7.5/100•60

D.) 100•60/7.5

Answers

Answer:

The answer is B

Step-by-step explanation:

d/r = t

d = 100 m

r = 7.5 m/s

t = ?

t = 100/7.5

Answer:

I believe the answer is B.

Explanation:

If you are trying to find out how fast she ran you need to compare it to the total area of land she ran.

For a complex number, multiplying by the conjugate always gives which of the following? Select one: O A Non-negative complex number O B. Non-negative real number O C. Negative real number D. Positive rational number E. Negative irrational number​

Answers

Answer:

B. Non-negative real number

Step-by-step explanation:

For a complex number, multiplying by the conjugate always gives Non-negative real number


I’m only asking for #1

Answers

Answer:

3. 6

4. 9

5. 12

6. 15

Step-by-step explanation:

Other Questions
Parler vous francais What is the Simplified Answer: (5x+11)-(2x-3) Which function could this graph represent?A) an even-degree function with two relative extrema B) an odd-degree with three relative extrema C) an even-degree function with three relative extremaD) an odd-degree with two relative extrema How does the paramecium release its waste? How can the information on this poster best be categorized?ILL GIVE BRAINLIESTSelect one:A. factualB. propagandaC. advertisementD. entertainment A racecar is racing along a circular track. The car starts at the 3-o'clock position and travels CCW along the track. The car is constantly 8 feet from the center of the race track and travels at a constant speed and it takes the car 7.854 seconds to complete one full lap. a. How many radians does the car sweep out per second? radians per second Preview b. Write a function fthat determines the car's distance to the right of the center of the race track (in feet) in terms of the number of seconds t since the start of the race. f(t) A newspaper surveyed households to determine how likely they were to subscribe to their publication. The results are shown below by annual household income. Household Income < $60,000 > $60,000I would never purchase a newspaper subscription.4063I might or might not purchase a newspaper subscription.5370I would probably purchase a newspaper subscription.6532I already purchase a newspaper subscription.7316Identify the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription. What does this number represent? 1 Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children are in this group? What is a rhythmic pattern? A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If the population standard deviation is $2,050. What is the standard error of the mean?a. $128.125b. $138.36c. $2.050d. $8.01 plss help ASAPWhat is the ratio of blue shapes to all shapes in the set below? 4.9 5.9 4.5 5.4 how did the nazis make the jews identify themselves Will give brainliest!! How would you write the direction of the vector above as a global angle? -9 is an example of what if peanut butter is made by peanuts and butter does that mean that ice-cream is made out of ice and cream. Use the graph below to answer the question. Quadrilateral PQRS will be rotated 90 clockwise about the origin resulting in quadrilateral P'Q'R'S'. Which statement is true Suppose a certain object has a mass of 5.00 kilograms on the earth. On theMoon, where g is 1.6 m/s/s what would its mass be?* For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 44 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.) Ivanhoe Company sublet a portion of its warehouse for five years at an annual rental of $71100, beginning on May 1, 2020. The tenant, Barbara Jones, paid one year's rent in advance, which Ivanhoe recorded as a credit to Unearned Rent Revenue. Ivanhoe reports on a calendar-year basis. The adjustment on December 31, 2020 for Ivanhoe should be:________. rob bought 15 concert tickets worth $322.50. Floor tickets cost $25 each while balcony tickets cost $17.50 each. How many tickets of each type did rob bye?