Question

At the city museum child admission is $5.40 and adult admission is $9.40. On Wednesday, 168 tickets were sold for a total sales of $1199.20. How many adult tickets were sold that day?

Answer 1

Given:

Selling price of child ticket = $5.40

Selling price of adult ticket = $9.40

Total tickets = 168

Total sales = $1199.20

To find:

The number of adult tickets sold.

Solution:

Let x be the number of child tickets and y be the number of adult tickets.

Total tickets :
`x+y=168` ...(i)

Total sales :
`5.40x+9.40y=1199.20` ...(ii)

From equation (i), we get

`x=168-y`

Put this value in (ii).

`5.40(168-y)+9.40y=1199.20`

`907.2-5.40y+9.40y=1199.20`

`4y=1199.20-907.2`

`4y=292`

Divide both sides by 4.

`y=(292)/(4)`

`y=73`

Therefore, 73 adult tickets were sold that day.