Difference between revisions of "2007 AMC 12A Problems/Problem 5"

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==HCR solution==
 
==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>.
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After paying his taxes, 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 got a total of <math>\frac{10500}{0.28}=37500\  \mathrm{(D)}</math>.
  
 
==See also==
 
==See also==

Revision as of 23:43, 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 $20\%$ in federal taxes on his income, and paid $10\%$ of what he had left to pay for AIDS treatment. He paid a total of $\textdollar10500$ for both expenses. How many dollars did he get from begging?

$(\mathrm {A})\ 30000 \qquad (\mathrm {B})\ 32500 \qquad(\mathrm {C})\ 35000 \qquad(\mathrm {D})\ 37500 \qquad(\mathrm {E})\ 40000$

HCR solution

After paying his taxes, he has $0.8*0.9=0.72$ of his earnings left. Since $10500$ is $0.28$ of his income, he got a total of $\frac{10500}{0.28}=37500\  \mathrm{(D)}$.

See also

2007 AMC 12A (ProblemsAnswer KeyResources)
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 (ProblemsAnswer KeyResources)
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

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