Math problem : please help!
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Math problem : please help!

[From: ] [author: ] [Date: 11-05-04] [Hit: ]
and my teacher said i could correct it for 1/2 credit but i have no idea what to do!-Lbs.Lbs.3.20p + 8.00c = 4.......
how do i do this:

A grocery sells peanuts for $3.20 per pound and cashews for $8 per pound. The grocer wants to make 100 pounds of mixture of peanuts and cashews that can be sold for $4.40 per pound. How many pounds of each type of nut should the grocer use?

** i got this wrong on a test, and my teacher said i could correct it for 1/2 credit but i have no idea what to do!

-
Lbs. of peanuts = p
Lbs. of cashews = c

p + c = 100
3.20p + 8.00c = 4.40(100)

p + c = 100
3.20p + 8.00c = 440

-8(p + c = 100)
3.20p + 8.00c = 440

-8.00p - 8.00c = -800
3.20p + 8.00c = 440

-4.80p = -360

p = 75

If p = 75...and p + c = 100...then c = 25.

Lbs. of peanuts = p = 75
Lbs. of cashews = c = 25

--------------------------------------…

-
x - pounds of peanuts

x * 3.20 + (100-x) * 8 = 100 * 4.40

x * 3.20 + 800 - 8x = 440

-4.80x = -360

x = 75

hence,

75 pounds of peanuts and 25 pounds of cashew.
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