Question

Dobbs spent $283.50 purchasing 108 tickets for a field trip to a museum. Adult tickets cost $4.50 each and tickets for students cost $2.25 each. how many adult tickets and student tickets were bought

Answer 1

In all 1106 of adding but it’s tricky because you have to add the extra 50

Answer 2

Dobbs bought 18 adult tickets and 90 student tickets.

Let’s use a system of equations to solve this.

Let be the number of adult tickets and be the number of student tickets.

We’re given two pieces of information:

1. The total number of tickets is 108:
2. The total cost of the tickets is $283.50:

Using the first equation, we can express in terms of as .

Substitute this expression for into the second equation:



Now, solve for :







Now that we know , substitute it back into :




So, Dobbs bought 18 adult tickets and 90 student tickets.