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?

Guest Feb 13, 2020

#1**+3 **

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 )

CPhill Feb 13, 2020

#2**+1 **

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!

AnimalMaster Feb 13, 2020