The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is__________?
Correct answer: D. 6
- A. 3
- B. 4
- C. 5
- D. 6
Explanation
The 9 ml lotion contains 50% alcohol, so alcohol volume is 50/100 x 9 ml = 4.5 ml. For this to be 30% of the final mixture, the final volume must be 4.5 ml/0.30 = 15 ml, so water added = 15 ml - 9 ml = 6 ml. The likely trap is 3 ml, which does not dilute 4.5 ml of alcohol to 30% of the final volume.
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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.
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