SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 40%
pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to prod
Question 1118742: The Royal Fruit Company produces two types of fruit drinks. The first type is 40%
pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 18 pints of a mixture that is 55% pure fruit juice? Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39617) (Show Source):
Let x be the volume (in pints) of the 40% fruit juice to mix.
Then the volume of the 100% juice to add is (18-x) pints.
The volume of the pure juice in the mixture thus is 0.4x + (18-x) pints.
The total volume is 18 pints.
Hence, the concentration of the mixture = = .
According to the condition, it must be 55%, or 0.55. It gives you an equation
= 0.55. (1)
To solve it, multiply both sides by 14 and then simplify it step by step:
0.4x + 18 - x = 18*0.55
-0.6x = 18*0.55 - 18 = -8.1
x = = 13.5 pints.
Check. You need to check if the equation (1) is valid.
= 0.55. ! Correct !
Answer. 13.5 pints of the 40% juice should be mixed with (18-13.5) = 4.5 pints of the pure juice.
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