SOLUTION: 4 oranges and 5 apples cost 3.56 three oranges and 4 apples cost 2.76 find the cost of a oranges and the cost of a apple

Algebra ->  Systems-of-equations -> SOLUTION: 4 oranges and 5 apples cost 3.56 three oranges and 4 apples cost 2.76 find the cost of a oranges and the cost of a apple      Log On


   

Question 133859This question is from textbook algebra 1
: 4 oranges and 5 apples cost 3.56 three oranges and 4 apples cost 2.76 find the cost of a oranges and the cost of a apple This question is from textbook algebra 1

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
4O+5A=3.56 MULTIPLY THIS EQUATION BY 3.
3O+4A=2.76 MULTIPLY THIS EQUATION BY -4 & THEN ADD THEM.
12O+15A=10.68
-12O-16A=-11.04
-----------------------------
-A=-.36
A=.36 COST OF 1 APPLE.
4O+5*.36=3.56
4O+1.80=3.56
4O=3.56-1.80
4O=1.76
O=1.76/4
O=.44 COST OF 1 ORANGE.
PROOF
3*.44+4*.36=2.76
1.32+1.44=2.76
2.76=2.76