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Question
12/15 ratios and proportions
a grocery store sells six peaches for $4. another store sells nine peaches for $6. what is the ratio of peaches to cost?
Step1: Analyze first store
The first store sells 6 peaches for $4. The ratio of peaches to cost is $6:4$. Simplify this ratio by dividing both numbers by their greatest common divisor, which is 2. So, $\frac{6}{2}:\frac{4}{2} = 3:2$.
Step2: Analyze second store
The second store sells 9 peaches for $6. The ratio of peaches to cost is $9:6$. Simplify this ratio by dividing both numbers by their greatest common divisor, which is 3. So, $\frac{9}{3}:\frac{6}{3} = 3:2$.
Step3: Conclusion
Both stores have the same ratio of peaches to cost.
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The ratio of peaches to cost is $3:2$ (or $\frac{3}{2}$) for both stores.