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

x = 9.818

x≈10

The number of banners that can be made are 10

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 =
`(27)/(2)` feet

This implies 4 1/2 yards =
`(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

`(27)/(2)` feets = x

cross multiply

1 3/8 × x =
`(27)/(2)`

`(11x)/(8)` =
`(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