How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pound?

Question

How many pounds of cashews that cost $14 per pound must be mixed with

5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost

$10.25 per pound?

Answer 1

14x + 6.5(5) = 12.5(x+5)

14x -12.5x = 62.5 - 32.5

1.5x = 30

x = 30/1.5 = 20 pounds of $14 mixed with 5 pounds of $6.50 to get 25 pounds of $12.50

check the answer

14-12.5 = 1.5

12.5-6.5 = 6

6/1.5 = 4

20/5 = 4

4 times as much $14 is needed as $6.50 to get $12.50

14(20) + 6.5(5) = 280+32.5 = 312.5 = 12.5(25)