SOLUTION: A grocer combined walnuts that cost $2.10 per pound and cashews that cost $3.90 per pound with 24 lb of peanuts that cost $2.00 per pound. Find the amount of walnuts and the amount

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Question 934813: A grocer combined walnuts that cost $2.10 per pound and cashews that cost $3.90 per pound with 24 lb of peanuts that cost $2.00 per pound. Find the amount of walnuts and the amount of cashews used to make a 56-pound mixture costing $2.70 per pound.
ANY IDEA????? THANKS GUYS!! =o)

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The known amount of 24 pounds of peanuts at $2.00 per pound makes the problem into a two-part mixture problem (because the third or last part is known).

Using the specific values, and w for walnuts and c for cashews,
system%28%282.1w%2B3.9c%2B2%2A24%29%2F56=2.70%2Cw%2Bc%2B24=56%29.
Solve the system for w and c.

Study the closely related lesson:
http://www.algebra.com/my/mixture-price-two-part-both-parts-unknown.lesson?content_action=show_dev