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The ratio, by volume, of flavoring to sugar to water in a ce

Problem Solving — algebra and arithmetic
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by amit.lohchab » Wed Apr 17, 2013 5:15 pm
The ratio, by volume, of flavoring to sugar to water in a certain soft drink is 2:10:50.
The soft drink will be altered so that the ratio of flavoring to sugar is halved while the ratio of sugar to water is doubled. If the altered soft drink will contain 4 ounces of sugar, how many ounces of water will it contain?

A. 4
B. 5
C. 10
D. 16
E. 20

Ans C
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by Anju@Gurome » Wed Apr 17, 2013 6:50 pm
amit.lohchab wrote:The ratio, by volume, of flavoring to sugar to water in a certain soft drink is 2:10:50. The soft drink will be altered so that the ratio of flavoring to sugar is halved while the ratio of sugar to water is doubled. If the altered soft drink will contain 4 ounces of sugar, how many ounces of water will it contain?
Ratio of sugar to water was 10:50 = 10/50
New ratio of sugar to water = 2*(10/50) = 20/50 = 2/5

So, for 2 ounce of sugar, there will be 5 ounce of water.
--> for 4 = 2*2 ounce of sugar, there will be 2*5 = 10 ounce of water.

The correct answer is C.
Anju Agarwal
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