2003 AMC 8 Problem 4
Attempt Problem 4 of the 2003 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
A group of children riding on bicycles and tricycles rode past Billy Bob’s house. Billy Bob counted children and wheels. How many tricycles were there?
Answer: C
Small hint:
If all children had bicycles, count the wheels.
Big hint:
Each tricycle adds one wheel compared with a bicycle.
Solution:
Let be the number of bicycles and be the number of tricycles. Then we can set up the following system of equations: Multiplying the first equation by and subtracting from the second equation, we get
Thus, C is the correct answer.
Problem 4 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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