Question

Mary is buying tickets for a movie.

Answer 1

adult ticket = 10

child ticket = 4

Step-by-step explanation:

for example…

• adult ticket = x
• child ticket = y

so that we get a system of equations

9x + 5y = 110…Equation 1

x + y = 14…Equation 2

solve the system of equations, this time I will use the Elimination and Substitution method

9x + 5y = 110

x + y = 14 (multiplied by 5)

↓↓↓↓↓↓↓

9x + 5y = 110

5x + 5y = 70

___________ _

4x = 40

x = 10

to find value of y subtitute x to one of Equation. for example from second Equation…

x + y = 14

10 + y = 14

y = 14 - 10

y = 4

∴ So, the number of each ticket was she bought is 10 adult ticket and 4 child ticket.