Discount tickets to a basketball tournament sell for $4.00 each. Enrico spent $60.00 on discount tickets, $37.50 less than if he had bought the tickets at the regular price. What was the regular ticket price?

A. $2.50

B. $6.40

C. $6.50 The Answer

D. $7.50

E. $11.00

The answer is $6.50 but why??????????

Respuesta :

Option C : $6.50 is the right answer

Step-by-step explanation:

Given

Price of one discounted ticket = $4.00

Total amount spent on discounted tickets = $60.00

So,

[tex]Total\  tickets = \frac[Total\ price}{Price\ of\ one\ ticket}\\=\frac{60}{4}\\= 15\ tickets[/tex]

Hence he bought 15 tickets

Now,

If he had bought without discount he would have paid $37.50 so

Total price without discount will be: $60.00 + $37.50 = $97.50

So,

Price of one ticket before discount:

[tex]\frac{Total\ price\ without\ discount}{Total\ tickets}\\=\frac{97.50}{15}\\=6.5\ dollars[/tex]

Hence,

Option C : $6.50 is the right answer

Keywords: Unit price, linear equation

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