Answer :

Answer:

$24.60

Step-by-step explanation:

Let x be the original price of the puzzle.  We are told the cost is $15.99 AFTER a 35% discount.  This can be written as an equation:

(1 - 0.35)*x = $15.99  [The (1-0.35) is the original cost 100% (1) minus the 35% discount (0.35)]

0.65x = $15.99

      x =  $24.60

CHECK:

Will a 35% discount on an item priced at $24.60 result in a final price of $15.99?

(0.35)*($24.60) = $8.61  discount

$24.60 - $8.61 = $15.99   YES