Math Word Problem

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a new blend of coffee will cost $3.90 per pound by mixing 2 coffees that sell for $2.75 and $5 per pound. what amounts of each coffee should be blended to obtain the desired mixture?
(the total weight of the desired blend is 100 lbs)

How would I solve this?
The equation would 3.90 = 2.75x + 5x ?
3.90(100) = 2.75x + 5x

  • Math Word Problem -

    Let there be x lb of the expensive coffee and y lb of the inexpensive coffee.

    x + y = 100

    5x + 2.75 y = 3.90*100 = 390

    Now solve for both x and y.
    5x + 5y = 500
    2.25 y = 110
    y = 48.89
    x = 51.11

    It is almost a 50/50 blend

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