Question:
A bakery stocks 3 cookies for every 2 cupcakes and 6 pastries for every 5 cookies. What is the ratio of cupcakes to pastries?
A bakery stocks 3 cookies for every 2 cupcakes and 6 pastries for every 5 cookies. What is the ratio of cupcakes to pastries?
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Always align ratios by taking LCM of the common term for accurate comparison.
Updated On: Nov 1, 2025
- 5:9
- 2:5
- 1:3
- 4:5
- 4:9
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Cookies to cupcakes ratio is \( 3:2 \).
Step 2: Pastries to cookies ratio is \( 6:5 \).
Step 3: To compare cupcakes to pastries, take LCM of cookies = 15.
So, \( 2 \times 5 = 10 \) cupcakes, and \( 6 \times 3 = 18 \) pastries.
Step 4: Simplify ratio \( 10:25 = 2:5 \).
Final Answer: \[ \boxed{2:5} \]
Step 2: Pastries to cookies ratio is \( 6:5 \).
Step 3: To compare cupcakes to pastries, take LCM of cookies = 15.
So, \( 2 \times 5 = 10 \) cupcakes, and \( 6 \times 3 = 18 \) pastries.
Step 4: Simplify ratio \( 10:25 = 2:5 \).
Final Answer: \[ \boxed{2:5} \]
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