Question

There were 874 tickets sold for a school event. Student tickets were $3 and non-student

tickets were $7. If the total amount of ticket sales was $3,786, how many student
tickets were sold? (Use only the digits 0-9 to enter a number.)
This questions weird

Answer 1

583 student tickets

Explanation:

This question is likely asking us to set up a system of equations. Let us say that:

x represents the number of student tickets

y represents the number of non-student tickets

We know that there were a total of 874 tickets sold, so:

x + y = 874

We also know that every student ticket was sold for $3 and every non-student ticket was sold for $7. We also know the total sales, so:

3x + 7y = 3786

These are our two equations. We can use substitution to solve for the number of student tickets, x:

x + y = 874

y = 874 - x

3x + 7y = 3786

3x + 7(874 - x) = 3786

3x + 6118 - 7x = 3786

-4x = -2332

x = 583 student tickets