I need help setting up the problem for Cashews cost $4 per pound and peanuts cost $1 per pound. How many pounds of peanuts should be used with the cashews to get a mixture of 24 pounds that will cost $2 per pound?

Question

I need help setting up the problem for Cashews cost $4 per pound and peanuts cost $1 per pound.  How many pounds of peanuts should be used with the cashews to get a mixture of 24 pounds that will cost $2 per pound?

anonymous · Answer

1x + 4(24-x) = 2(24)
x + 96 - 4x = 48
x - 4x = 48 - 96
-3x = -48
x = 48/3
x = 16 lb

anonymous · Answer

Or 
x + 4(24-x) = 48 (cost of mix)
3x = 48 -> x = 16 ?

republican31 · Answer

Thank you! Sorry I actually ended up figuring it out on my own forgetting that I posted this here. It went the same way as your first answer! Thank you!