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 | + | 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? |
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| + | </math>(\mathrm {A})30000<math> </math>(\mathrm {B})32500<math> </math>(\mathrm {C})35000<math> </math>(\mathrm {D})37500<math> </math>(\mathrm {E})40000$ | ||
==Solution== | ==Solution== | ||
Revision as of 18:47, 28 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 
(\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 | |
