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?

Question

asked Oct 20, 2021 32.4k views

1 Answer

Hey Mike · Answer 1 · 2021-10-25T07:40:17+0000

Answer:

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.