Question

Jimmy's costume requires ⅞ + ½ + 1 3/4 yards of fabric. His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs. What is the relationship between how much fabric Jimmy needs and how much fabric his sister needs?

Answer 1

The correct answer is fabric Jimmy's sister needs =
`(73)/(8)` × fabric Jimmy needs =
`(73)/(8)` ×
`(25)/(8)` yards of fabric.

Explanation:

Jimmy's costume requires ⅞ + ½ + 1
`(3)/(4)` yards of fabric =
`(7)/(8) +(4)/(8) + (14)/(8) = (25)/(8)` yards.

His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× (
`(21)/(24) + (12)/(24) + (40)/(24)` ) yards of what Jimmy needs =
`(73)/(8)` yards of what Jimmy needs.

The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by

Fabric Jimmy's sister needs =
`(73)/(8)` × fabric Jimmy needs =
`(73)/(8)` ×
`(25)/(8)` yards of fabric.