Answer :
Answer:
The correct answer is fabric Jimmy's sister needs = [tex]\frac{73}{8}[/tex] × fabric Jimmy needs = [tex]\frac{73}{8}[/tex] × [tex]\frac{25}{8}[/tex] yards of fabric.
Step-by-step explanation:
Jimmy's costume requires ⅞ + ½ + 1 [tex]\frac{3}{4}[/tex] yards of fabric = [tex]\frac{7}{8} +\frac{4}{8} + \frac{14}{8} = \frac{25}{8}[/tex] yards.
His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× ([tex]\frac{21}{24} + \frac{12}{24} + \frac{40}{24}[/tex] ) yards of what Jimmy needs = [tex]\frac{73}{8}[/tex] 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 = [tex]\frac{73}{8}[/tex] × fabric Jimmy needs = [tex]\frac{73}{8}[/tex] × [tex]\frac{25}{8}[/tex] yards of fabric.