Question

The senior class is taking a trip to an amusement park. For every 3 tickets they purchased they received one free ticket. 3 tickets cost `$53.25`. The total purchase of tickets cost `$1384.50`. How many tickets did they receive?

Answer 1

`104` tickets were received,

Explanation:

If they receive one free ticket for every three purchased, we can treat the prices of `$53.25` as the price of four tickets.

`$1384.50 div $53.25 = 26`

There were `26` groups with `4` students in each group.

Therefore they paid for `26xx3 = 78` students,
but they received `104` tickets.

Answer 2

104

Explanation:

The total count of (3+1) cost of `$53.25`

So the true cost for 1 ticket `($53.25)/4`

Total sum spent: `$1384.50`

Total count of tickets: `->$1384.50-:($53.25)/4`

`->$1384.50xx4/($53.25) color(white)("d")=color(white)("d") (cancel($)1384.50)/(cancel($)53.25)xx4 = 104`

Did you know you can cancel out units of measurement?

`104` tickets