Question

You Meet some friends while traveling! you decide to go on an ATV tour. Tickets for one hour are $25 each. Tickets for a two-hour tour are $48 each. Your group bought a total of 8 tickets and spent a total of $315. How many of each type of ticket did your group buy?

Answer 1

3 one-hour tour tickets and 5 two-hour tour tickets

Explanations:

Let the number of one-hour tour tickets be "x"

Let the number of two-hour tour tickets be "y"

If your group bought a total of 8 tickets, then;

x + y = 8

x = 8 - y............................... 1

If tickets for one hour are $25 each and tickets for a two-hour tour are $48 each with a total amount of $315 spent, then;

25x + 48y = 315 .......................2

Substitute equation 1 into 2 to have:

25(8 - y) + 48y = 315

200 - 25y + 48y = 315

200 + 23y = 315

23y = 315 - 200

23y = 115

y = 115/23

y = 5

Substitute y = 5 into equation 1 to have:

x = 8 - y

x = 8 - 5

x = 3

This shows that 3 one-hour tour tickets and 5 two-hour tour tickets were bought.