Question

For a school concert, 210 tickets are sold. Of the tickets some were for adults and others for
students. The adult ticket costs 25 each and a student ticket costs 15
money collected is 4300, find the number of 25 tickets sold. .​

Answer 1

Answer:

We need to designate a variable for the number of student tickets and the number of nonstudent tickets sold;

Let S = #student tickets

Let N = #nonstudent tickets

We know that a total of 150 tickets were sold so:

S + N = 150

We also know that the total revenue was $930 so:

5S + 8N = 930 because each student ticket was $5 and each nonstudent ticket cost $8

Equation 1: S+N = 150

Equation 2: 5S + 8N = 930

We can solve for one variable in terms of the other in equation 1. Solving for S we have S=150-N

Replace S with 150-N in equation 2 and solve for N

5(150-N) + 8N = 930

750 - 5N + 8N = 930

750+3N = 930

3N = 930-750

3N = 180

N = 60

There wee 60 nonstudent tickets sold

S = 150-N = 150-60 = 90

There were 90 student tickets sold

Answer 2

Answer:

let the rupees 25 tickets be x

then

rupees 25 =x and

rupees 15 =210-x

the equation will be

= 25(x) + 15(210-x) = 4300

= 25x + 3150 - 15x = 4300

= 25x - 15x = 4300 - 3150

= 10x = 1150

= x = 1150/10

= x = 115

there fore the number of tickets for adults 25 rupees sold are 115 tickets