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#.