# A discounted concert ticket costs $14.50 less than the original price p. You pay$53 for a discounted ticket. How do you write and solve an equation to find the original price?

$53 = p - 14.5$, Original price p=$67.50 #### Explanation: Let $c$represent what you paid for the ticket, the discounted price. We're told that the discount price, which you pay, is $14.50 less than the original price, which will be represented by $p .$
$c = p - 14.5$
Furthermore, we're told you pay $53, I.E., $c = 53$: $53 = p - 14.5$Now, solve for $p :$$p = 53 + 14.5$$p = 67.5$So, the original price was $67.50.