Martinez bought 8 3/4 yd of fabric. She wants to make a skirt using 1 7/8 yd, pants using 2 3/8, and a vest using 1 2/3 yd. how much fabric will be left over?
Please help ASAP!!! :(

Answers

Answer 1

Answer:

The fabric left over will be [tex]2\frac{5}{6}[/tex]

Step-by-step explanation:

Total fabric bought= [tex]8\frac{3}{4} \ yd[/tex]

Fabric used for skirt = [tex]1\frac{7}{8} \ yd[/tex]

Fabric used for pants = [tex]2\frac{3}{8} \ yd[/tex]

Fabric used for vest = [tex]1\frac{2}{3} \ yd[/tex]

Total fabric used = Fabric used for skirt+Fabric used for pants+Fabric used for vest

Total fabric used=[tex]1\frac{7}{8}+2\frac{3}{8}+1\frac{2}{3}[/tex]

[tex]=\frac{15}{8}+\frac{19}{8}+\frac{5}{3}\\=\frac{15*3+19*3+5*8}{24}\\=\frac{45+57+40}{24}\\=\frac{142}{24} \\=\frac{71}{12}[/tex]

So, Total fabric used = [tex]\frac{71}{12}[/tex]

Total Fabric left= Total fabric bought-Total fabric used

Total Fabric left=[tex]8\frac{3}{4}-\frac{71}{12}[/tex]

[tex]=\frac{35}{4}-\frac{71}{12}\\=\frac{35*3-71}{12} \\=\frac{105-71}{12}\\=\frac{34}{12}\\=\frac{17}{6}\\=2\frac{5}{6}[/tex]

So, the fabric left over will be [tex]2\frac{5}{6}[/tex]


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Step-by-step explanation:

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