## Faman39 3 years ago Kenny goes shopping for school clothes during a tax−free weekend, and he saves 6% sales tax. Use a percent proportion to determine how much he would have to spend to save 30% . Which of the following is true? The solution is $18 , and is a denominator in the proportion. The solution is$18, and is a numerator in the proportion. The solution is $500, and is a denominator in the proportion. The solution is$500, and is a numerator in the proportion.

1. ganeshie8

according to the question, we must setup a proportion like this : $$\frac{a}{b} = \frac{c}{d}$$

2. ganeshie8

since he save 6 rupees on every 100 rupees he spends, first ratio will be 6/100 $$\frac{6}{100} = \frac{c}{d}$$

3. ganeshie8

call : x, the amount he will have to spend

4. ganeshie8

to save 30 dollars, the proportion becomes : $$\frac{6}{100} = \frac{30}{x}$$

5. ganeshie8

solving gives, x = 500, and it is in the numerator.....

6. ganeshie8

and i see theres a mistake in the question : its not 30%, it should be 30 \$.

7. Faman39

Thank u so much @ganeshie8 !!!!!!!!!!!!!!!!!!!!!!!!!!! :)

8. ganeshie8

yw... :))

9. Faman39

Yeah, sorry it ws my mistake :)

10. Faman39

11. ganeshie8

lol okay... its easy to make out so no probs... :D

12. Faman39

minor correction @ganeshie8 . x is 500 and it was in the denominator

14. ganeshie8

oops! you're right.... good catch @rsadhvika thank you :)