2009 AMC 8 Problem 1

Attempt Problem 1 of the 2009 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 2009 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 33 apples, keeping 44 apples for herself. How many apples did Bridget buy?

33

44

77

1111

1414

Answer: E
Concepts:work backwards
Difficulty rating: 370
Solution:

We can work backwards, starting with the 44 apples that Bridget kept for herself. Adding the 33 apples that she gave Cassie, she now has 77 apples.

Finally, we multiply this value by 22 since she gave half of her initial apples to Ann. 72=14,7 \cdot 2 = 14, so Bridget started off with 1414 apples.

Thus, E is the correct answer.

Full Exam

Problem 1 in Other Years

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