SOLUTION: Ordinary salted peanuts cost $6 per lb. Premium (i.e. without peanuts) mixed nuts cost $18 per lb. Suppose a 24 oz. mixture of peanuts and premium mixed nuts costs $16.50. How much

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Question 890734: Ordinary salted peanuts cost $6 per lb. Premium (i.e. without peanuts) mixed nuts cost $18 per lb. Suppose a 24 oz. mixture of peanuts and premium mixed nuts costs $16.50. How much of the mixture is made up of peanuts?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
u of the cheap nuts, v of the expensive nuts

%286u%2B18v%29%2F24=16.5 and u%2Bv=24

Use v=24-u.

6u%2B18v=24%2816.5%29
Divide b.s. by 6;
u%2B3v=4%2816.5%29
u%2B3%2824-u%29=4%2816.5%29
u%2B72-3u=4%2816.5%29
-2u=-72%2B4%2816.5%29
u=36-2%2816.5%29
u=36-33
highlight%28u=3%29