2007 AMC 12A Problems/Problem 5
- The following problem is from both the 2007 AMC 12A #5 and 2007 AMC 10A #7, so both problems redirect to this page.
Contents
[hide]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
for both taxes. How many dollars was his inheritance?
Solution 1
After paying his taxes, he has of his earnings left. Since
is
of his income, he got a total of
.
Solution 2
Let his total inheritance be a number . The amount of tax he has to pay at first can be represented as
. The amount of money he has left over after this expense can be written as
. He then has to pay
tax on this remaining amount, which can be written as
. The combined expense of these taxes is
, so
\Longrightarrow
. Therefore
. Ankitamc (talk) 13:32, 17 January 2021 (EST)AnkitAmc.
See also
2007 AMC 12A (Problems • Answer Key • Resources) | |
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 | |
All AMC 12 Problems and Solutions |
2007 AMC 10A (Problems • Answer Key • Resources) | ||
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 | ||
All AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.