AlgebraEasy–MediumInterpreting a system's solution in context
Algebra practice question
At a fair, 3 ride tokens and 2 game tokens cost $23, and 1 ride token and 1 game token cost $9. What is the cost of a ride token?
- A. $5Correct
- B. $4
- C. $9
- D. $3
Answer: A. $5
From the second purchase, g = 9 − r. Then 3r + 2(9 − r) = 23, so r + 18 = 23 and r = 5.
Why the other answers are wrong
- B. $4
- $4 is a game token.
- C. $9
- $9 is one of each together.
- D. $3
- $3 comes from dividing 9 by 3 as if the tokens were equal in price; they are not.
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