Difference between revisions of "2007 AMC 12A Problems/Problem 5"
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==Problem== | ==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 <math>10500 for both taxes. How many dollars was his inheritance? | + | Last year Mr. Jon Q. Public received an inheritance. He paid <math>20\%</math> in federal taxes on the inheritance, and paid <math>10\%</math> of what he had left in state taxes. He paid a total of <math>\</math><math>10500 for both taxes. How many dollars was his inheritance? |
</math>(\mathrm {A})30000<math> </math>(\mathrm {B})32500<math> </math>(\mathrm {C})35000<math> </math>(\mathrm {D})37500<math> </math>(\mathrm {E})40000$ | </math>(\mathrm {A})30000<math> </math>(\mathrm {B})32500<math> </math>(\mathrm {C})35000<math> </math>(\mathrm {D})37500<math> </math>(\mathrm {E})40000$ | ||
Revision as of 19:47, 28 September 2007
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 
(\mathrm {A})30000$$ (Error compiling LaTeX. Unknown error_msg)(\mathrm {B})32500$$ (Error compiling LaTeX. Unknown error_msg)(\mathrm {C})35000$$ (Error compiling LaTeX. Unknown error_msg)(\mathrm {D})37500$$ (Error compiling LaTeX. Unknown error_msg)(\mathrm {E})40000$
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 | |
