The description below is my question

Question

Amy, Jane, and Kayla bought tickets to a movie. Amy bought 2 adult tickets and 4 children tickets for $35.50. Jane bought 3 adult tickets and 3 children tickets for $36.00. How much will Kayla pay for 5 adult tickets and 4 children tickets?

Answer 1

2a +4c= 35.5

3a+3c= 36

6a+12c=106.5

6a+6c= 72

6c=34.5

c= 5.75

a=35.5-4(5.75)]/2= 12.5/2=6.25

5(5.75)+5(6.25)

= 28.75+31.25

=$40 for 5 adults and 5 children