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?

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Answer 1 · 2018-03-31T05:41:20

$53=p-14.5$ , Original price $p=$67.50$

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 $p.$

Algebraically, this means that

$c=p-14.5$

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$ .