The first type costs $2 per lb and the second costs $7 per lb. How much of each type does Mavis use to make 75 lbs of a blend?

At The Old Home Fill'er Up and Keep on a-Truckin' Cafe, Mavis mixes two different types of coffee beans to produce a house blend. The first type costs $2 per pound and the second costs $7 per pound. How much of each type does Mavis use to make 75 pounds of a blend which costs $4 per pound. How would I set up this equation?

2 Answers

Relevance
  • 4 years ago

    x + y = 75

    2x + 7y = 4(75)

    y = 30

    x = 45

  • David
    Lv 7
    4 years ago

    let

    x = lbs of $2 per pound coffee

    y = lbs of $7 per pound coffee

    x + y = 75

    y = 75 - x

    2x + 7y = 4 * 75

    2x + 7(75 - x) = 300

    2x + 525 - 7x = 300

    -5x = -225

    x = 45

    y = 30

    45 lbs of $2 per pound coffee

    30 lbs of $7 per pound coffee

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