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 = [tex]\frac{27}{2}[/tex] feet
This implies 4 1/2 yards = [tex]\frac{27}{2}[/tex] feet
Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.
1 3/8 feet = 1 banner
[tex]\frac{27}{2}[/tex] feets = x
cross multiply
1 3/8 × x = [tex]\frac{27}{2}[/tex]
[tex]\frac{11x}{8}[/tex] = [tex]\frac{27}{2}[/tex]
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
