Question

60 tickets to a concert was sold. Adult tickets cost $5 while children’s tickets cost $3.50. A total of $250 was collected. How many adult and children tickets were sold?

Answer 1

Number of adults tickets sold = x

= 26.67 tickets

Number of children tickets sold = y = 33.33 tickets

Explanation:

Let

Number of adults tickets sold = x

Number of children tickets sold = y

x + y = 60 (1)

5x + 3.50y = 250 (2)

From (1)

x = 60 - y

Substitute x = 60 - y into (2)

5x + 3.50y = 250

5(60 - y) + 3.50y = 250

300 - 5y + 3.50y = 250

- 5y + 3.50y = 250 - 300

- 1.50y = 50

y = -50/-1.50

y = 33.33

Substitute y = 33.33 into 1

x + y = 60

x + 33.33 = 60

x = 60 - 33.33

x = 26.67 tickets

Number of adults tickets sold = x

= 26.67 tickets

Number of children tickets sold = y = 33.33 tickets