Question 513749: jill has exactly $25,000 in cash to buy a car. if the tax she will pay is 8%, how much can she afford before taxes? Found 2 solutions by umail08, solver91311:Answer by umail08(87) (Show Source):
You can put this solution on YOUR website! x = cost of car
8%x = tax
x + 8%x < 25000
x + .08x < 25000
1.08x < 25000
1.08x/1.08 < 25000/1.08
x < $23148.15
She has to pay the price of the car plus 8% of the price of the car and this has to be less than or equal to $25,000
Let represent the price of the car. Then is the tax to be paid, so:
So you have to round to the next lower cent because of the limitations of our monetary system and the fact that if you round up, the total will be more than she can afford (only by $0.002, but still...)
Therefore:
John
My calculator said it, I believe it, that settles it