Question

If there are 150 students less than three times the number of teaches and together purchased 1778 tickets. How many students bought tickets and how many teacher?

Answer 1

Students purchased 1296 tickets and teachers purchased 482 tickets.

Explanation:

We are given the following in the question:

Let x be the number of tickets purchased by students and y be the number of tickets purchased by teachers.

Total tickets purchased = 1778

Thus, we can write the equation:

`x+y = 1778`

There are 150 students less than three times the number of teacher's tickets.

Thus, we can write the equation:

`x = 3y - 150`

Solving the two equations, we get,

`3y-150 + y = 1778\\4y = 1928\\y = 482\\x = 3(482)-150=1296`

Thus, students purchased 1296 tickets and teachers purchased 482 tickets.