Homework Help: Algebra Word Problem

Posted by pj on Sunday, November 16, 2008 at 1:00pm.

Peanuts are selling for $2 per pound, and cashews are selling for $5 per pound. How much of each type of nut would be needed to create 20lb. of a mixture that would sell for $2.75 pre puund?
Use the variables, p and c, to setup a system of equations. Solve.

p=numver of pounds of peanuts
c=numver of pounds of cashews

Could someone HELP ME PLEASE I'm LOST!!!

Algebra Word Problem - drwls, Sunday, November 16, 2008 at 1:25pm
One equation would obviousy be
p + c = 20

The other equation would be based upon the total cost. 20 lb at 2.75/per lb should cost $55.
The same amount of money must equal the costs of the two ingredients, added together.
2 p + 5 c = 55.

Solve those two equations for the answer

Since 2p + 2c = 40,
3 c = 15
c = 5
p = 15

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