- Tim wanted to mix 5 liters of a drink that contains 15% sugar with a drink that has 50% sugar already in it to make that has 25% sugar. How many liters of the drink with 50% sugar must he add to get the 25% sugar drink?
Mixx_12Tyro
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Let the number of liters of the 50% sugar drink Tim needs to mix be
, then the proportion of sugar in 5 liters of the 15% solution of 
liters, the proportion of sugar in 
liters of the 50% solution of 
liters, and the proportion of sugar in 
liters of the 25% new solution of 
.
Thus, putting it all together, we have that
.
Collecting the like terms together, we have
Dividing both sides by 0.25 gives
.
Therefore, the number of liters of the 50% solution needed to be mixed is 2 liters.