SOLUTION: 5 pounds of cashews and 8 pounds of peanuts cost $26.27. Seven pounds of cashews and 4 pounds of peanuts cost $23.89. What is the price of each per pound?

Question 734473: 5 pounds of cashews and 8 pounds of peanuts cost $26.27. Seven pounds of cashews and 4 pounds of peanuts cost $23.89. What is the price of each per pound?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
5C+8P=26.27
7C+4P=23.89 MULTIPLY THIS EQUATION BY -2 & ADD.
-14C-8P=-47.78
5C+8P=26.27
-------------------
-9C=-21.51
C=-21.51/9
C=$2.39 PER POUND FOR THE CASHEWS.
5*2.39+8P=26.27
11.95+8P=26.27
8P=26.27-11.95
8P=14.32
P=14.32/8
P=$1.79 PER POUND FOR THE PEANUTS.
PROOF:
7*2.39+4*1.79=23.89
16.73+7.16=23.89
23.89=23.89

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