Question

Tickets for the karaoke talent show sponsored by the Speech Club were priced at $3 for adults and $2 for students. The club treasurer counted 300 tickets sold for a total of $650. Write and solve a system of equations to determine how many adult and student tickets were sold.

Answer 1

50 adults and 250 students tickets were sold

Explanation:

Given data

Let the number of adults be x and students be y

3x+2y=650------1

x+y= 300---------2

from 2

x= 300-y

put the value of x in 1

3(300-y)+2y= 650

900-3y+2y= 650

900-y= 650

900-650= y

y=250

put the value of y in 2

x+250= 300

x= 300-250

x= 50

Hence 50 adults and 250 students tickets were sold