Word Math Problem

Question

The manager of a farmer's market has 150 lb of grain that costs $1.70 per pound. How many pounds of meal costing $0.80 per pound should be mixed with the 150 lb of grain to produce a mixture that costs $1.34 per pound?

Answer 1

Answer: 100 pounds

1.7(150) + .8x = 1.34(150+x)

(1.34-.8)x = (1.7-1.34)(150)

.54x = .36(150)

x = 36(150)/54 = 2(150)/3 = 2(50) = 100 pounds of 80 cent per pound meal mixed with 150 pounds of $1.70 per pound meal to get 250 pounds of $1.34 per pound meal

1.7(150) + .8(100)

= 255 + 80 = 335

1.34(250) = 335