Question

For a certain event, 817 tickets were sold, for a total of $1919. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?

Answer 1

Answer:

532 student tickets were sold

Step-by-step explanation:

Let x be the no. of student's tickets sold

Let y be the no. of non student's tickets sold

We are given that 817 tickets were sold in total

So, $x+y = 817$  --1

Cost of 1 student's ticket = $2

So, Cost of x student's ticket = 2x

Cost of 1 non - student's ticket = $3

Cost of y non - student's ticket = 3y

We are given that  817 tickets were sold, for a total of $1919

So, $2x+3y = 1919$  ---2

Solving 1 and 2

Substitute the value of y from 1 in 2

$2x+3(817-x) = 1919$

$2x+2451-3x = 1919$

$2451-1919=x$

$532=x$

Substitute the value of x in 1

$532+y = 817$

$y = 817-532$

$y = 285$

Hence 532 student tickets were sold