Question

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.

Answer 1

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 :
`x+y=725` ...(i)

Total sales :
`15x+18y=8775` ...(ii)

Multiply equation (i) by 15.

`15x+15y=10875` ...(iii)

Subtract (iii) from (ii),

`15x+18y-15x-15y=8775-10875`

`3x=-2100`

`x=-700`

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

`-700+y=725`

`y=725+700`

`y=1425`

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.