Ratio of Substances in a Solution

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The ratio, by volume, of salt to sugar to water in a certain solution is 3:5:7. The solution will be altered so the ratio of sugar to salt is doubled while the ratio of sugar to water is maintained. If altered solution will contain 7 cubic centimeters of water, how many cubic centimeters of salt will it contain?

Review: Ratio of Substances in a Solution


Explanation

In this question, we have a three-part ratio, so we can keep track of it with the colon notation or a table:



The second row is the desired ratio. First we put in a 10 to double the ratio of sugar to salt. Then, to keep the ratio of sugar to water the same, we have to double the water also. Then we learn that the actual value of water is 7, or half the entry in the row, so the actual value for salt will be half its entry, or 1.5.

The correct answer is (A).


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