SOLUTION: The bill for three glasses of orange juice and 5 pancake specials is 7.60, but the bill for five glases of orange juice and 4 pancake specials is 7.90. What would be the bill for o

Algebra ->  Systems-of-equations -> SOLUTION: The bill for three glasses of orange juice and 5 pancake specials is 7.60, but the bill for five glases of orange juice and 4 pancake specials is 7.90. What would be the bill for o      Log On


   



Question 137217: The bill for three glasses of orange juice and 5 pancake specials is 7.60, but the bill for five glases of orange juice and 4 pancake specials is 7.90. What would be the bill for one glass of orange juice and one panckae special? Write a system of equations for the given facts. Solve the system.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3O+5P=7.6 MULTIPLY THIS EQUATION BY 5
5O+4P=7.9 MULTIPLY THIS EQUATION BY -3 & ADD THEM
15O+25P=38
-15O-12P=-23.7
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13P=14.3
P=14.3/13
P=1.10 PRICE OF ONE PANCAKE.
3O+5*1.1=7.6
3O+5.5=7.6
3O=7.6-5.5
3O=2.1
O=2.1/7
O=.30 COST OF ONE ORANGE.
1.10+.30=$1.40 COST OF 1 ORANGE & 1 PANCAKE.