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Math Help - percentages

  1. #1
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    percentages

    I have milk that contains 1 percent fat and milk that contains 4 percent fat. A customer wants a double latte made with 1/3 a pint of 2 percent milk. How much of each type of milk should I use ?
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  2. #2
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    Hello, lilikoipssn!

    I have milk that contains 1% fat and milk that contains 4% fat.
    A customer wants a double latte made with 1/3 a pint of 2% milk.
    How much of each type of milk should I use ?

    Let x = amount of 1% milk.
    . . It contains: . \frac{1}{100}x pints of fat.
    Then \frac{1}{3} - x = amount of 4% milk.
    . . It contains: . \frac{4}{100}\left(\frac{1}{3} - x\right) pints of fat.
    Hence, the mixture contains a total of: . {\color{blue}\frac{1}{100}x + \frac{4}{100}\left(\frac{1}{3} - x\right)} pints of fat.


    But we know that the mixture will be \frac{1}{3} pints which is 2% fat.
    . . It contains: . \frac{2}{100}\left(\frac{1}{3}\right) \;=\;{\color{blue}\frac{2}{300}} pints of fat.


    We just described the final amount of fat in two ways.

    . . There is our equation . . . \frac{1}{100}x + \frac{4}{100}\left(\frac{1}{3}-x\right) \;=\;\frac{2}{300}

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