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): You can put this solution on YOUR website!

-------equation in one variable, x, the amount pints of the 40% pure fruit juice
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
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.

Solved.

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For introductory lessons covering various types of mixture problems, see
    - Mixture problems
    - More Mixture problems
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    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
in this site.

Read them and become an expert in solution the mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
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