A Merchant muxed 30lbs of peanuts with 20lbs of cashews. The 50lbs mixture sells for $203. A second mixture included 40lbs of peanuts and 60lbs cashews. The 100 lb mixture sells for $484. How do you find the cost per pound of the cashews?

Question

1684 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-09T16:25:23

I found:
#C=32/5#$/lb

Call the two costs per pound: #P# and #C#, so you have:
#{(30P+20C=203),(40P+60C=484):}#

Solving the system you get the costs per lb:
#P=5/2#$/lb
#C=32/5#$/lb