Question

Ben needs 1 3/8 feet of fabric to make one banner. How many banners can he make from 4 1/2 yards of fabric?

Answer 1

Answer:

x = 9.818

x≈10

The number of banners that can be made are 10

Step-by-step explanation:

We can use the knowledge of proportion to solve this.

First we need to convert yard to feet.

  1  yard      = 3 foot

4 1/2 yard    = y

cross-multiply

y =  4 1/2  ×  3

    =9/2  ×   3

y = $\frac{27}{2}$ feet

This implies 4 1/2 yards =  $\frac{27}{2}$ feet

Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.

1 3/8 feet  = 1 banner

$\frac{27}{2}$  feets    =    x

cross multiply

1 3/8 × x =  $\frac{27}{2}$

$\frac{11x}{8}$  =  $\frac{27}{2}$

cross-multiply

22x = 216

Divide both-side of the equation by 22

22x/22 = 216/22

x = 9.818

x≈10

The number of banners that can be made are 10