AlgebraMediumChoosing the system for a situation
Algebra practice question
At a stall, 3 pies and 2 tarts cost $14, and one pie with one tart costs $6. If p and t are the prices of a pie and a tart, which system represents this?
- A. 3p + 2t = 14 and p + t = 6Correct
- B. 3p + 2t = 6 and p + t = 14
- C. 2p + 3t = 14 and p + t = 6
- D. 3p + 2t = 14 and p − t = 6
Answer: A. 3p + 2t = 14 and p + t = 6
Three pies and two tarts make 14; one of each makes 6. (Solution: p = 2, t = 4.)
Why the other answers are wrong
- B. 3p + 2t = 6 and p + t = 14
- The totals are swapped.
- C. 2p + 3t = 14 and p + t = 6
- The counts are swapped.
- D. 3p + 2t = 14 and p − t = 6
- p − t = 6 turns the sum into a difference.
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