2003 AMC 8 Problem 8
Attempt Problem 8 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).
8.
Problems and use the data found in the accompanying paragraph and figures.
Bake Sale
Four friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown.
• Art’s cookies are trapezoids:
• Roger’s cookies are rectangles:
• Paul’s cookies are parallelograms:
• Trisha’s cookies are triangles:
Each friend uses the same amount of dough, and Art makes exactly cookies.
Who gets the fewest cookies from one batch of cookie dough?
Art
Paul
Roger
Trisha
There is a tie for fewest.
Answer: A
Small hint:
Same dough and thickness means larger cookie area gives fewer cookies.
Big hint:
Compare the areas of the four cookie shapes.
Solution:
Since the cookies all have the same thickness and use the same amount of dough, the largest cookie shape produces the fewest cookies.
Art’s trapezoid has area Roger’s rectangle has area Paul’s parallelogram has area and Trisha’s triangle has area
Art has the largest cookie area, so Art gets the fewest cookies from one batch.
Thus, A is the correct answer.
Problem 8 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
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