Adult tickets to a musical cost $15 and children's tickets cost $8. A total of 725 tickets were sold which brought in a total of $8775. How many of each type of ticket were sold?

State the equation used to solve, along with both answers.

Given:

Cost of adult's ticket = $15

Cost of  children's  ticket = $8

Total tickets = 725

Total sales = $8775

To find:

The number of each type of ticket were sold.

Solution:

Let x be the number of adult tickets and y be the number of children's ticket.

Total tickets :         ...(i)

Total sales :           ...(ii)

Multiply equation (i) by 15.

        ...(iii)

Subtract (iii) from (ii),

Putting x=-700 in (i), we get

Therefore, the number of adult tickets is -700 and number of child tickets is 1425.

Note: The number of tickets cannot be negative. So, there must be some error in the question.

step-by-step explanation:

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