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Bernie owns the Bright Blooms flower shop. When he makes a small bouquet, he uses $3$ roses and $6$ lilies. When he makes a large bouquet, he uses $6$ roses and $8$ lilies. Does Bernie use the same ratio of roses to lilies in both bouquets? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Compare ratios: word problems

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Q. Bernie owns the Bright Blooms flower shop. When he makes a small bouquet, he uses

3

roses and

6

lilies. When he makes a large bouquet, he uses

6

roses and

8

lilies. Does Bernie use the same ratio of roses to lilies in both bouquets?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Calculate Ratio Small Bouquet: Step $1$ : Calculate the ratio of roses to lilies in the small bouquet. $\newline$ Number of roses: $3$ $\newline$ Number of lilies: $6$ $\newline$ Ratio of roses to lilies = $\frac{3}{6} = \frac{1}{2}$
Calculate Ratio Large Bouquet: Step $2$ : Calculate the ratio of roses to lilies in the large bouquet. $\newline$ Number of roses: $6$ $\newline$ Number of lilies: $8$ $\newline$ Ratio of roses to lilies = $\frac{6}{8} = \frac{3}{4}$
Compare Ratios: Step $3$ : Compare the two ratios. $\newline$ Ratio from small bouquet = $\frac{1}{2}$ $\newline$ Ratio from large bouquet = $\frac{3}{4}$ $\newline$ Since $\frac{1}{2}$ is not equal to $\frac{3}{4}$ , the ratios are different.

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