3
Answer: BSet 1: Systems of Equations
Explanation
A solution is 30% acid. How much pure water must be added to 40 liters of this solution to dilute it to 24% acid?
A.
8 liters
B.✓ Correct
10 liters
C.
12 liters
D.
15 liters
Detailed Explanation
Choice B is correct. Choice B is the correct answer. Let = liters of water to add. Equation: Amount of acid stays the same 0.30(40) = 0.24(40 + w)$12= 9.6 + 0.24 w2.4= 0.24 w$w = 10$$ Other choices fail verification.
Key Steps:
•
The correct answer is 10 liters
Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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