A grocer wishes to blend two different coffee brands because he wants to make a blend of 480 pounds to sell at $2.68 a pound. If he uses a brand of coffee worth $2.50 a pound with another brand worth $2.80 a pound, how many pounds of each does he use?

Question

Please tell me the steps to solve this

Answer 1

done here

http://www.jiskha.com/display.cgi?id=1438656557

Answer 2

2.5x + 2.8(480-x) = 2.68(480)
2.5x + 1344 - 2.8x = 128.40
-.3x = -57.6
x = 192

so he should use 192 pounds of the $2.50 and
288 pounds of the $2.80 stuff

check:
cost of the parts = 2.5(192) + 2.8(288) = 1286.40
cost of the mix = 2.68(480) = 1286.40

Answer 3

2.5x + 2.8(480-x) = 2.68(480)
2.5x + 1344 - 2.8x = 128.40
-.3x = -57.6
x = 192