Question

600 tickets for a school concert are sold. The cost of a ticket for a adult is $45 and $30 for a learner. The total amount of ticket sales was $22200. How many tickets were sold to learners​

Answer 1

x = number of tickets sold to adults = 280

y = number of tickets sold to learner's = 320

Step-by-step explanation:

Let

x = number of tickets sold to adults

y = number of tickets sold to learner's

x + y = 600 (1)

45x + 30y = 22,200 (2)

From (1)

x = 600 - y

Substitute x = 600 - y into (2)

45x + 30y = 22,200 (2)

45(600 - y) + 30y = 22,200

27,000 - 45y + 30y = 22,200

- 45y + 30y = 22,200 - 27,000

-15y = -4,800

y = -4,800/-15

y = 320

Substitute y = 320 into (1)

x + y = 600 (1)

x + 320 = 600

x = 600 - 320

x = 280

x = number of tickets sold to adults = 280

y = number of tickets sold to learner's = 320