Peanuts sell for $3.00 per pound. Cashews sell for $6.00 per pound. How many pounds of cashews should be mixed with 12 pounds of peanuts to obtain a mixture that sells for $4.20 per pound?
Let the pounds of cashews = C
So we have that
Price of cashews per pound * number of pounds + Price of peanuts per pound * Number of pounds = Final cost * Number of pounds
6 ( C ) + 3 ( 12) = 4.20 ( C + 12) simplify
6C + 36 = 4.20C + 50.4 subtract 36, 4.20 C from both sides
1.8 C = 14.4 divide both sides by 1.8
C = 8 (lbs of cashews )
Let's make pounds of cashews = "x".
We know that peanuts sell for 3.00 each.
Soo, the equation is 6(x) + 3(12) = 4.20(x+12).
6x + 36 = 4.20x + 50.4. Subtracting 36, and 4.20x from both sides:
1.8x = 14.4. Dividing both sides by 1.8x:
x = 8lbs.
Which is what CPhill got!