The same four friends buy tickets for two shows on consecutive nights. they use a coupon for $5 off each ticket. they pay a total of $416 for 8 tickets. write and solve an equation to find the original price of the tickets.

Original price of the ticket was $57.

Step-by-step explanation:

Four friends buy tickets for two shows.

Let the price of a ticket was $c

Then cost of 4 tickets = $4c

They use a coupon to get the discount = $5 on each ticket

So total discount on 4 tickets = 4×5 = $20

Cost of the tickets after discount = 4c - 20

Cost of the tickets for two consecutive nights = 2(4c - 20)

If they paid total amount = $416 for 8 tickets

Then the equation will be 2(4c - 20) = 416

Now we can solve this equation to get the original price of the ticket.

2(4c - 20) = 416

4c - 20 = 208

4c = 208 + 20

4c = 228

c =

c = $57

Therefore, original price of a ticket was $57.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents