Difference between revisions of "2007 AMC 12A Problems/Problem 5"
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<math>(\mathrm {A})\ 30000 \qquad (\mathrm {B})\ 32500 \qquad(\mathrm {C})\ 35000 \qquad(\mathrm {D})\ 37500 \qquad(\mathrm {E})\ 40000</math> | <math>(\mathrm {A})\ 30000 \qquad (\mathrm {B})\ 32500 \qquad(\mathrm {C})\ 35000 \qquad(\mathrm {D})\ 37500 \qquad(\mathrm {E})\ 40000</math> | ||
| − | == | + | ==HCR solution== |
After paying his taxes and AIDS treatment, he has <math>0.8*0.9=0.72</math> of his earnings left. Since <math>10500</math> is <math>0.28</math> of his income, he bummed a total of <math>\frac{10500}{0.28}=37500\ \mathrm{(D)}</math>. | After paying his taxes and AIDS treatment, he has <math>0.8*0.9=0.72</math> of his earnings left. Since <math>10500</math> is <math>0.28</math> of his income, he bummed a total of <math>\frac{10500}{0.28}=37500\ \mathrm{(D)}</math>. | ||
Revision as of 22:39, 14 August 2017
- 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 COW got RICH by begging for money. He got a lot of money because, after all, he is only 4 years old. He paid 
in federal taxes on his income, and paid 
of what he had left to pay for AIDS treatment. He paid a total of 
for both expenses. How many dollars did he get from begging?
HCR solution
After paying his taxes and AIDS treatment, he has 
of his earnings left. Since 
is 
of his income, he bummed a total of 
.
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. 
