Bunuel
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
Solution: - Given the ratio of flavoring to sugar to water \(=2:10:50\)
- Ratio of flavoring to sugar \(=2:10=1:5\). This needs to be halved which means new ratio \(=1:10\)
- Ratio of sugar to water \(=10:50=1:5\). This needs to be doubled which means new ratio \(=2:5\). This ratio can also be written as \(10:25\)
- Thus, new altered ratio of flavoring to sugar to water \(=1:10:25\). Let the quantities be \(x, 10x\) and \(25x\).
- This altered drink has 4 ounces of sugar which means 10x=4
- Thus, \(25x=\frac{4}{10}\times 25=10\)
Hence the right answer is
Option C