Question

Each child ticket for a ride costs $3, while each adult ticket costs $5. If the ride collected a total of $150, and 40 tickets were sold, how many of each type of ticket was sold?

Answer 1

25 child tickets are sold and 15 adult tickets are sold.

Explanation:

Let `x` be the number of child tickets sold
Then `40-x` be the number of adult tickets sold (a total of 40 tickets are sold and `x` child tickets are sold)

Now, for the costs
Since `x` child tickets are sold and each ticket costs $3, then the cost is `3timesx=3x`
Since `40-x` adult tickets are sold and each ticket costs $5, then the cost is `5(40-x)`

`3x+5(40-x)=150`
`3x+200-5x=150`
`200-2x=150`
`2x=50`
`x=25`

Therefore, 25 child tickets are sold and 15 adult tickets are sold.