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Math Help - How do you solve this please?

  1. #1
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    Question How do you solve this please?

    The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 120 pints of a mixture that is 65% pure fruit juice?

    Thanks in advance
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  2. #2
    MHF Contributor
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    Re: How do you solve this please?

    Hey phyfreak.

    Can you show us what you have tried? (Hint: it will involve ax + by = cz where a,b,c are percentages and x,y,z are liquid quantities).
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  3. #3
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    Re: How do you solve this please?

    Let x pint of 45% fruit juice be mixed with ( 120-x) pint of 65%fruit juice be mixed to get 120 pint of 95% fruit juice.
    Now solve for x and get the result
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