Kenny goes shopping for school clothes during a tax−free weekend, and he saves eight percent sales tax. Use a percent proportion to determine how much he would have to spend to save ten dollars. Which of the following is true?

Question

anonymous · Answer

The solution is eighty dollars, and is a denominator in the proportion. 

 The solution is eighty dollars, and is a numerator in the proportion. 

 The solution is one hundred twenty-five dollars, and is a denominator in the proportion. 

 The solution is one hundred twenty-five dollars, and is a numerator in the proportion.

directrix · Answer

@nyprincess2001   I am going to post my thoughts on this but percent proportion is something about which I am not sure. 

Here we go.

directrix · Answer

Let P is the total tax-free purchases bought by Kenny.

Kenny wants to spend $P with no tax and then be able to say he saved exactly $10 of tax money.

So, 8% of $P = $10

8% = 8/100 = .08

.08 P = 10

P = $125  BUT what about the percent proportion options?  @nyprincess2001

directrix · Answer

Oh, I did not use the proportion method.

directrix · Answer

This --> 8% of $P = $10   could be written as:

(8*P)/100 = 10/1 which is a proportion.

@nyprincess2001   Let me know what you think.