Question

Paul is making banana bread. The number of cup of bananas he uses is proportional to the number of loaves of bread. Paul uses 11 1/4 cups of bananas to make 5 loaves of bread. Which equation represent the relationship between c, the number of cups of bananas, and , the number of loaves of bread?

Answer 1

C.
`c = 2(1)/(4)b`

Explanation:

Divide

`11(1)/(4)` ÷
`5`

Convert mixed number to improper fraction

(4 × 11 = 44 + 1 = 45)

`(45)/(4)` ×
`(5)/(1)`

`= (225)/(4)`

`c=2(1)/(4)`

Answer 2

Let
c----------> the number of cups of bananas
l----------> the number of loaves of bread

we know that
11 1/4------> (11*4+1)/4-----> 45/4

Paul uses (45/4) cups of bananas to make-------> 5 loaves of bread
then
1 cup of banana------------------------------------> X
X=(1*5)/(45/4)--------> x=20/45--------> 4/9 loaves of bread

so
the equation that represent the relationship between c, and l is
c=(4/9)*l

the answer is
c=(4/9)*l