Difference between revisions of "2007 AMC 12A Problems/Problem 5"
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==Solution== | ==Solution== | ||
| − | After paying his taxes, he has .8*.9=.72 of the inheritance left. Since 10500 is .28 of the inheritance, the whole inheritance is 10500 | + | After paying his taxes, he has <math>.8*.9=.72</math> of the inheritance left. Since 10500 is .28 of the inheritance, the whole inheritance is <math>\frac{10500}{0.28}=37500\ \mathrm{(D)}</math>. |
==See also== | ==See also== | ||
| − | + | {{AMC12 box|year=2007|ab=A|num-b=4|num-a=6}} | |
| − | + | ||
| − | + | [[Category:Introductory Algebra Problems]] | |
Revision as of 10:50, 9 September 2007
Problem
Last year Mr. Jon Q. Public received an inheritance. He paid 20% in federal taxes on the inheritance, and paid 10% of what he had left in state taxes. He paid a total of $10500 for both taxes. How many dollars was his inheritance?
Solution
After paying his taxes, he has 
of the inheritance left. Since 10500 is .28 of the inheritance, the whole inheritance is 
.
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 | |
