The ratio, by weight, of coffee to mate to water in a certain cup of coffee is 6:2:15. The coffee is altered so that the ratio of coffee to mate is halved while the ratio of coffee to water is doubled. If the altered coffee will contain 16 grams of mate, how many grams of water does it contain after alteration? Choose the correct choice from the following options.
A) 12 B) 15 C) 30 D) 60 E) 100
c:m:w = 6:2:15   new c:m = 1/2(6/2) = 3:2   new c:w = 2(6:15) = 12:15 = 4:5   so new m:c:w = 2:3   4:5   = 8:12:15 ( notice how i combined the two ratios by multiplication by 3 and 4 of respective ratios)   m = 16 g   Let T = total amount of c + m + w then   8 / (8+12+15)T = 16 x 35/8 = 70g   then w = 15/35 x 70 = 30g   Answer 30
<result>C</result>
The ratio, by weight, of coffee to mate to water in a certain cup of coffee is 6:2:15. The coffee is altered so that the ratio of coffee to mate is halved while the ratio of coffee to water is doubled. If the altered coffee will contain 16 grams of mate, how many grams of water does it contain after alteration?