AoPSWiki
Want to learn how to tackle those tough AMC/AIME/Olympiad algebra problems? Check out Art of Problem Solving's NEW Intermediate Algebra by Richard Rusczyk and Mathew Crawford. Over 1600 problems!
Personal tools

2007 AMC 12A Problems/Problem 5

From AoPSWiki

The following problem is from both the 2007 AMC 12A #5 and 2007 AMC 10A #7, so both problems redirect to this page.

Problem

Last year Mr. Jon Q. Public received an inheritance. He paid in federal taxes on the inheritance, and paid of what he had left in state taxes. He paid a total of 10500 for both taxes. How many dollars was his inheritance?

(\mathrm {A})\ 30000 \qquad (\mathrm {B})\ 32500 \qquad(\mathrm {C})\ 35000 \qquad(\mathrm {D})\ 37500 \qquad(\mathrm {E})\ 40000

Solution

After paying his taxes, he has of the inheritance left. Since is of the inheritance, the whole inheritance is \frac{10500}{0.28}=37500\  \mathrm{(D)}.

See also

2007 AMC 12A (Problems)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
2007 AMC 10A (Problems)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
MATHCOUNTS books are available at the AoPS Bookstore.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us