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Wednesday, March 12, 2008

Mixture Problem 4

Steve wants to dilute 8 gallons of 75% alcohol solution to 50%. How many gallons of water must be added to do so?

Solution Here


  1. Well, how much alcohol is in 8 gallons of 75% alcohol solution? 8(.75) = 6 gallons. So however much water we put in (x) will make the final amount 8 + x. But 50% of that has to be alcohol.
    6/(8 + x) = .5
    6 = .5(8 + x)
    6 = 4 + .5x

    Solve that and you'll have your answer.

  2. I have a shipment of 250 laptops, (A,B and C) totaling a value of $105000, there are as many type A as there are B and C combined. the prices of the laptops are $400 for type A, $250 for type B, and $500 for type C. What's the quantity of each type of laptop in the shipment? please help


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