Question

Question #bb488

Answer 1

Number of adult tickets sold = 135
and
Number of student tickets sold = 186.

Explanation:

Let the number of adult tickets sold be: `x`.
Given that, three hundred twenty one tickets were sold together.
So, the number of students tickets sold will be `(321-x)`

Cost of one adult ticket is 3.50, so the total cost of adult tickets will be: `x xx 3.50 = 3.50x`

Cost of student ticket is 2.50, so the total cost of student tickets sold will be : `(321-x)xx2.50 = 802.5 - 2.50x`

Given that, tickets were sold together for 937.50, that gives us the equation:

`3.50x +(802.5 - 2.50x) = 937.50`

`=> 3.50x - 2.50x = 937.50 - 802.5`------by transposition of terms.

`=> 1x = 135`

`=>` number of adults tickets sold were`135`.

So, number of student's tickets sold will be `321- 135 = 186`

Cross checking:
`135 xx 3.50 + 186 xx 2.50`

`= 472.50 + 465 =937.50`