10

Set 3: Ratios Rates Proportions (Advanced)

Explanation

Answer: B

PROBLEM

A mixture is made of two substances in the ratio 2:5. If the total mixture is 42 liters, how many liters is the first substance?

A mixture is made of two substances in the ratio 2:5. If the total mixture is 42 liters, how many liters is the first substance?

A.

9

B.

12

✓ Correct
C.

10

D.

6

Detailed Explanation

Choice B is the best answer. First substance = 2/(2+5) times 42 = 2/7 times 42 = 12 liters

Why others are wrong:
A: 9 is incorrect because it does not satisfy the equation.
C: 10 is incorrect because it does not satisfy the equation.
D: 6 is incorrect because it does not satisfy the equation.

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