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?

Question

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?

? · Answer

x + y = 75
2x + 7y = 4(75)
y = 30
x = 45

David · Answer

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

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?

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