SOLUTION: MS. SMITH CAN EITHER BUY 6 APPLES AND 2 ORANGES FOR $1.50 OR 5 APPLES AND 4 ORANGES FOR $1.60. How much does one apple cost?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: MS. SMITH CAN EITHER BUY 6 APPLES AND 2 ORANGES FOR $1.50 OR 5 APPLES AND 4 ORANGES FOR $1.60. How much does one apple cost?      Log On

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Question 258706: MS. SMITH CAN EITHER BUY 6 APPLES AND 2 ORANGES FOR $1.50 OR 5 APPLES AND 4 ORANGES FOR $1.60. How much does one apple cost?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A-price of an apple
Q-price of an orange (O looks like 0 and might be confusing)
6A%2B2Q=1.50
5A%2B4Q=1.60
Multiply the first eq. by (-2) and add to the second to get rid of Q.
-12A-4Q%2B5A%2B4Q=-3%2B1.60
-7A=-1.40
A=0.20
Then from eq. 1,
6A%2B2Q=1.50
1.20%2B2Q=1.50
2Q=0.30
Q=0.15
Apples are $0.20 a piece, oranges are $0.15 a piece.