2005 AMC 8 Problem 11
Attempt Problem 11 of the 2005 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 2005 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
The sales tax rate in Bergville is . During a sale at the Bergville Coat Closet, the price of a coat is discounted from its price. Two clerks, Jack and Jill, calculate the bill independently. Jack rings up and adds sales tax, then subtracts from this total. Jill rings up , subtracts of the price, then adds of the discounted price for sales tax. What is Jack’s total minus Jill’s total?
Answer: C
Small hint:
Adding tax and taking the discount are both multiplications.
Big hint:
Multiplication gives the same result in either order.
Solution:
Jack’s total is dollars.
Jill’s total is dollars.
These products are equal because multiplication is commutative, so Jack’s total minus Jill’s total is .
Thus, C is the correct answer.
Problem 11 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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- 1998 AMC 8
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