SOLUTION: At the arcade, Ryan Sara and Tom played video racing games, pinball and air hockey. Ryan spent $6 for 6 racing games, 2 pinball games, and 1 game of air hockey. Tim spent $12.25 fo

Question 675206: At the arcade, Ryan Sara and Tom played video racing games, pinball and air hockey. Ryan spent $6 for 6 racing games, 2 pinball games, and 1 game of air hockey. Tim spent $12.25 for 2 racing games, 7 pinball games and 4 games of air hockey. How much did each of the games cost?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
There are 3 unknowns in this problem, but only
2 equations. That usually means some extra figuring
or guesswork.
Let = the cost of a racing game
Let = the cost of a pinball game
Let = the cost of air hockey
-----------------------------
(1)
(2)
--------------------------
Note from (1), that

----------
and, from (2)

-------------
From these 2, I get

--------------
I'll take some guesses

Now to test them:
(1)
(1)
looks too big. I'll say

(1)
(1)
I'll say
(1)
This is the only way to solve if you
have more unknowns that equations.
If you keep playing with it, you'll
get closer to the answer.

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