SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting t

Question 1093406: The Royal Fruit Company produces two types of fruit drinks. The first type is
45%
pure fruit juice, and the second type is
70%
pure fruit juice. The company is attempting to produce a fruit drink that contains
60%
pure fruit juice. How many pints of each of the two existing types of drink must be used to make
140
pints of a mixture that is
60%
pure fruit juice?
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
The expression "must be used to make" is misleading.
I assume that the company started with pure 100% juice.
Wouldn't it be easier and cheaper just to dilute some 100% juice to make the 60% juice drink instead of spending time and money to further dilute already prepared drinks. Basically, a poorly conceived and written problem.
.45x+.70y=.60*140
.45x+.70y=84
x+y=140

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The problem can be solved using two, or one, variable.

One would substitute during the use of two variables, giving one variable equation to solve anyway, so this could be done:

x, how much of the 45%
140-x, how much of the 70%

Accounting for amount of pure juice,

.
.
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