Question:
Flour, eggs, sugar, and chocolate chips are mixed by weight in the ratio of \(12:5:3:5\). How many pounds of chocolate chips are there in 75 pounds of the mixture?
Flour, eggs, sugar, and chocolate chips are mixed by weight in the ratio of \(12:5:3:5\). How many pounds of chocolate chips are there in 75 pounds of the mixture?
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When dividing in ratios, always sum up all parts first and multiply the required part by unit value.
Updated On: Oct 3, 2025
- 15
- 25
- 18
- 5
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The Correct Option is B
Solution and Explanation
Step 1: Total parts in ratio.
\(12 + 5 + 3 + 5 = 25\) parts.
Step 2: Each part’s weight.
\(\tfrac{75}{25} = 3\) pounds per part.
Step 3: Chocolate chips portion.
Chocolate chips = \(5\) parts = \(5 \times 3 = 15\).
Wait — check again: Actually, ratio has two “5’s”: one for eggs, one for chocolate. The chocolate portion is the last “5”.
So chocolate chips = \(5 \times 3 = 15\).
Correct answer = 15, not 25.
Final Answer: \[ \boxed{15} \]
\(12 + 5 + 3 + 5 = 25\) parts.
Step 2: Each part’s weight.
\(\tfrac{75}{25} = 3\) pounds per part.
Step 3: Chocolate chips portion.
Chocolate chips = \(5\) parts = \(5 \times 3 = 15\).
Wait — check again: Actually, ratio has two “5’s”: one for eggs, one for chocolate. The chocolate portion is the last “5”.
So chocolate chips = \(5 \times 3 = 15\).
Correct answer = 15, not 25.
Final Answer: \[ \boxed{15} \]
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