SOLUTION: 6 pounds of peas and 5 pounds of string beans cost $1.48. At the same time and place, 8 pounds of peas and 7 pounds of string beans cost $2.00. Fine the cost of 1 pound of each.

Question 167520: 6 pounds of peas and 5 pounds of string beans cost $1.48. At the same time and place, 8 pounds of peas and 7 pounds of string beans cost $2.00. Fine the cost of 1 pound of each.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
6P+5B=1.48 MULTIPLY BY 4
8P+7B=2.00 MULTIPLY BY -3 & ADD
24P+20B=5.92
-24P-21B=-6.00
-----------------
-1B=-.08
B=-.08/-1
B=$.08 PER POUND FOR THE BEANS.
6P+5*.08=1.48
6P+.40=1.48
6P=1.48-.40
6P=1.08
P=1.08/6
P=$.18 PER POUND FOR THE PEAS.
PROOF:
8*.18+7*.08=2.00
1.44+.56=2.00
2.00=2.00

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