SOLUTION: How many liters of water should be added to a 30 liter mixture of milk And Water in the ratio of 7:3 so that the mixture has 40% water in it? Please explain the answer. Thanks.

Question 475288: How many liters of water should be added to a 30 liter mixture of milk And Water in the ratio of 7:3 so that the mixture has 40% water in it?
Please explain the answer. Thanks.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of water to be added to mixture
Let = liters of milk in 30 liter mixture
Let = liters of water in 30 liter mixture
given:
(1)
(2)
------------
Multiply both sides of (2) by
(2)
(2)
Substitute (2) into (1)
(1)
(1)
(1)
and
(1)
(1)
(1)
----------------
In words:
(liters of water in final mixture) / (total liters of final mixture) = 40%

5 liters of water need to be added to the 30 liter mixture
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