AlgebraHardChoosing the system that models a situation
Algebra practice question
Two large candles and three small candles cost $16 together, and a large candle costs $3 more than a small one. If L is the price of a large candle and S the price of a small one, which system represents this?
- A. 2L + 3S = 16 and L = S + 3Correct
- B. 2L + 3S = 16 and S = L + 3
- C. 3L + 2S = 16 and L = S + 3
- D. 2L + 3S = 16 and L + S = 3
Answer: A. 2L + 3S = 16 and L = S + 3
Two large and three small: 2L + 3S = 16. Large is $3 more than small: L = S + 3. (Solution: L = 5, S = 2.)
Why the other answers are wrong
- B. 2L + 3S = 16 and S = L + 3
- S = L + 3 makes the SMALL candle dearer.
- C. 3L + 2S = 16 and L = S + 3
- 3L + 2S swaps the counts.
- D. 2L + 3S = 16 and L + S = 3
- L + S = 3 misreads the $3 difference as a sum.
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