Question

steve mixing Kona beans in Maui beans to make 25 lb of coffee buying Kona beans cost steve $15 per pound in Maui beans cost $24 per pound how many pounds each Coffee Bean should use first blend costing $17.70 per pound

Answer 1

Pounds of the coffee blend: 25

Cost of Kona beans: $15 per pound

Cost of Maui beans: $24 per pound

Cost of Cofee blend: $17.70 per pound

x = number of pounds of Kona beans

25-x = number of pounds of Maui beans

Multiply each number of beans by its cost, then add them, and that expression must be equal to the total number of pounds of the blend multiplied by its' cost per pound:

15x + (25-x)24 = 17.70 (25)

Solve for x:

15x+25(24)-x(24) = 17.70 (25)

15x+600-24x = 442.5

Combine like terms:

15x-24x = 442.5-600

-9x = -157.5

Divide both sides by -9:

-9x/-9 = -157.57-9

x= 17.5

Replace:

x = number of pounds of Kona beans = 17.5

25-x = number of pounds of Maui beans = 25-17.5 = 7.5