Carcass wrote:
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 liters of water is added, approximately what is the % of the new mixture of sugar?
A. 40%
B. 50%
C. 63%
D. 64%
E. 68
ASIDE: We can eliminate C, D and E immediately (without performing any calculations).
Here's why: If we begin with a mixture that's 60% sugar and then we
dilute it by adding water, the resulting mixture will have
less than 60% sugar. So, eliminate C, D and E.
Okay, on to the solution.
7.5 liter mixture of water and sugar is 60% sugar.60% of 7.5 liters is sugar
60% of 7.5 = 4.5, so the 4.5 mixture has 4.5 liters of sugar
1.5 liters of water is addedSo, the volume of the new mixture is 9 liters.
Since no sugar was added, the volume of the sugar is still 4.5 liters
(4.5)/9 = 1/2 = 50%
So, the new mixture is 50% sugar.
Answer: B