Question

A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate, how many cups of sugar should be used if 2 cups of bananas are used

Answer 1

The proportion will be
3 cups banana/1.5 cups sugar=2 cups banana/ x cups sugar.
How do you make 3 into a 2? You divide on a calculator which will get you 1.5. So what you do on top you do to the bottom as well.
Since 2*1.5=3, you have to multiply 1.5 by 1.5 which will get you 2.25. if you want it in fraction form it will be 2 1/4.
2 1/4 cups of sugar.

Answer 2

4 cups of sugar will be added with 2 cups of banana in the banana recipe.

Explanation:

A recipe for banana bread requires 3 cups of banana and
`1(1)/(2)` cups of sugar.

To calculate the cups of sugar used with 2 cups of bananas we will use unitary method.

∵
`(3)/(2)` cups of sugar is used with amount of banana = 3 cups

∴ 1 cup of sugar will be used with banana =
`(3)/((3)/(2))`

∴ 2 cups of sugar will be used with banana =
`(2* 3)/((3)/(2) )` =
`6* (2)/(3)`

= 4 cups

Therefore, 4 cups of sugar will be added with 2 cups of banana in the banana recipe.