SOLUTION: A juice drink manufacturer has found mixing pineapple juice concentrate and fresh squeezed orange juice is the most cost effective way to produce its breakfast beverage. The pineap

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Question 721504: A juice drink manufacturer has found mixing pineapple juice concentrate and fresh squeezed orange juice is the most cost effective way to produce its breakfast beverage. The pineapple juice comes in two concentrated forms, 14% and 40% pineapple juice, which must be combined into a solution that can be mixed with the orange juice. If 20 gallons of 14% juice is used, how many gallons of the 40% juice must be used to obtain a 30% pineapple juice solution?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with 20 gallons of 14% pineapple juice, want some quantity of 30% pineapple juice. The orange juice is the carrier liquid.

Let v = gallons of the 40% pineapple juice to add to achieve the 30% pineapple juice blend.

highlight%28%2820%2A14%2Bv%2A40%29%2F%2820%2Bv%29=30%29
2%2A14%2Bv%2A4=3%2820%2Bv%29
4v=60%2B3v-28
4v=3v%2B32
highlight%28v=32%29, gallons of the 40% pineapple juice to add.