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?

1 Answer
Jun 10, 2018

Answer:

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.