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Kevin and Bao are making fruit salads for a picnic. Kevin mixes 3 cups of melon and 8 cups of apple and Bao mixes 1 cup of melon and 8 cups of apple. Whose fruit salad will taste more appley?
Kevin's fruit salad will be more appley.
Bao's fruit salad will be more appley.
The two fruit salads will be equally appley.

Kevin and Bao are making fruit salads for a picnic. Kevin mixes $3$ cups of melon and $8$ cups of apple and Bao mixes $1$ cup of melon and $8$ cups of apple. Whose fruit salad will taste more appley? $\newline$ Kevin's fruit salad will be more appley. $\newline$ Bao's fruit salad will be more appley. $\newline$ The two fruit salads will be equally appley.

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Compare ratios: word problems

Full solution

Q. Kevin and Bao are making fruit salads for a picnic. Kevin mixes

3

cups of melon and

8

cups of apple and Bao mixes

1

cup of melon and

8

cups of apple. Whose fruit salad will taste more appley?

\newline

Kevin's fruit salad will be more appley.

\newline

Bao's fruit salad will be more appley.

\newline

The two fruit salads will be equally appley.

Calculate Ratio Kevin: Calculate the ratio of apple to total fruit in Kevin's fruit salad. $\newline$ Kevin uses $3$ cups of melon and $8$ cups of apple. $\newline$ Ratio of apple to total fruit for Kevin = Number of cups of apple / Total number of cups of fruit $\newline$ Ratio for Kevin = $\frac{8}{3 + 8} = \frac{8}{11}$
Calculate Ratio Bao: Calculate the ratio of apple to total fruit in Bao's fruit salad. $\newline$ Bao uses $1$ cup of melon and $8$ cups of apple. $\newline$ Ratio of apple to total fruit for Bao = Number of cups of apple / Total number of cups of fruit $\newline$ Ratio for Bao = $\frac{8}{(1 + 8)} = \frac{8}{9}$
Compare Ratios: Compare the ratios to determine whose fruit salad will taste more appley. $\newline$ Kevin's ratio: $\frac{8}{11}$ $\newline$ Bao's ratio: $\frac{8}{9}$ $\newline$ Since $\frac{8}{9}$ is greater than $\frac{8}{11}$ , Bao's fruit salad has a higher ratio of apple to total fruit.

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