Question

14.) Jasmine is buying tickets for a school

music concert. Adult tickets cost $3 more
than student tickets. Jasmine is buying 12
adult tickets and 8 student tickets for $156.
How much is an adult ticket? Define the
variable.

Answer 1

Adult ticket = $9

Student ticket = $6

Explanation:

x = price of student ticket

x + 3 = price of adult ticket

______

[12(x+3)] + 8x = 156

Use the distributive property to simplify the process.

12x + 36 + 8x = 156

Combine common terms.

20x + 36 = 156

Use inverse operations

[-(-36)] 20x + -36 = 156 [-(-36)]

20x = 120

x = 6

Answer 2

Adult ticket is for $9.

Explanation:

Let

Student ticket for x

Adult ticket for x+3

Now given that:

Adult tickets + Students Tickets = $156

12(x+3) + 8 (x) = $156

12x + 36 + 8x = $156

20x +36 = $156

20x = $(156-36)

20x = $120

x= $ (120/20)

x= $6 This is Student Ticket cost

Adult ticket cost is:

x+3 = $6 + $3 = $9