Mo2men wrote:A certain cleaning product is composed of water, soap, and fragrance. If the ratio of water to soap is 2:1 and the ratio of soap to fragrance is three times greater, what is the ratio of water to fragrance after half of the water evaporates?
A. 1:12
B. 1:6
C. 2:1
D. 3:1
E. 6:1
The blue portion conveys that the ratio of soap to fragrance is 3 times the ratio of water to soap:
Since W/S = 2/1, we get:
S/F = 3(2/1) = 6/1.
Ratios can be MULTIPLIED.
W/F = W/
S * S/F.
In the equation above, the values in red CANCEL OUT.
Subsituting W/S = 2/1 and S/F = 6/1 into W/F = W/
S * S/F, we get:
W/F = 2/1 * 6/1 = 12/1.
The resulting ratio indicates that there are 12 liters of water for every 1 liter of fragrance.
After 1/2 the water evaporates, there will be 6 liters of water for every 1 liter of fragrance.
The correct answer is
E.
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