Question

Janelle has $75. she buys jeans that are discounted 30% and then uses an in-store coupon for $10 off the discounted price. After paying $3.26 in sales tax , she receives $17.34 in change. what was the orginal price of the jeans ?

Answer 1

So, she paid (75-17.34=57.66) for the purchase

Or, the jeans costed 57.66-3.26=54.4 (prize minus sales tax)

But she got a 10 dollars off! so that means that the jeans actually costed 64.4

now, the 64.40 was the prize discounted by 30%:

64.40=(100-30)%*x

where x was the original prize

64.40=0.7x
644=7x
x=644/7
x=92

so the original prize was 92 dollars.