2003 AMC 8 Problem 10

Attempt Problem 10 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).

10.

How many cookies will be in one batch of Trisha’s cookies?
1010
1212
1616
1818
2424
Answer: E
Concepts:arearatio and proportion
Small hint:
Trisha’s cookie area is half of Art’s cookie area.
Big hint:
Same dough amount means half-size cookies make twice as many.
Solution:
Art’s cookie area is 1212 square inches, so the whole batch has area 12⋅12=14412\cdot12=144 square inches.
Trisha’s triangular cookie has area 12⋅3⋅4=6\frac12\cdot3\cdot4=6 square inches.
Therefore Trisha can make 144÷6=24144\div6=24 cookies per batch.
Thus, E is the correct answer.
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