Rebekah purchased a sweater that was reduced by 25%t (or one-fourth) of its original price. She also used a store coupon for $5.00. When she made the purchase, she paid the cashier $19.00. What was the original price of the sweater?

$24.00

$28.00

$32.00

$26.00

Question

Rebekah purchased a sweater that was reduced by 25%t (or one-fourth) of its original price. She also used a store coupon for $5.00. When she made the purchase, she paid the cashier $19.00. What was the original price of the sweater?

$24.00

 $28.00

 $32.00

 $26.00

radar · Answer

If it is 1/4 off, then she paid 3/4 of the price.  Let x = orig price, so the reduced price is 
(3/4) x.  Now she uses a coupon worth $5.00  She then pays (3/4 x)-5 dollars.  She paid $19.00.  
We can now write (3/4 x) - $5.00 = $19.00
solve for x.