SOLUTION: Emily mixes peanuts costing $6.5 per pound with candy-chocolate costing $5.00 per pound. If a 2.5-pound bag cost Emily $14, how many pounds of peanuts and how many pounds of chocol

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Question 765576: Emily mixes peanuts costing $6.5 per pound with candy-chocolate costing $5.00 per pound. If a 2.5-pound bag cost Emily $14, how many pounds of peanuts and how many pounds of chocolate were in the mixture?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The needed variables are for pounds of peanuts and pounds of chocolate.

Let p=pounds peanuts
let c=pounds chocolate

A 2.5-pound bag represents $14.
p%2Bc=2.5 and 6.5%2Ap%2B5%2Ac=14
Solve the system for p and c.

Try this:
5p%2B5c=5%2A%282.5%29 the pounds equation multiplied by 5,
5p%2B5c=12.5 the pounds equation simplified for easier use.

ELIMINATION OPERATION
6.5p+5c=14
-(5p+5c=12.5)
_________________
1.5p+0=1.5

meaning
highlight%28p=1.0%29 pound, so you can easily find c from this.