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?

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.