Question

adult tickets to a play cost 22 tickets for children cost 15 tickets for a group of 11 people cost a total of 228 write and solve a system of equations to find how many children and how many adults were in the group

Answer 1

Adult= A
Children= C

First equation:
A+C= 11
A= 11-C

Second equation:
228 total price includes 22dollar x adult and 15dollar x children ticket price. Write the equation:
228= 22A+15C (substitute above value for adult)

228= 22(11-C) + 15C
228= 242-22C+15C
228 - 242 = 7C
14 = 7C
C= 2 (there are 2 children in the group)

Find adult number, using 11= A+C equation,
11= A+2
A= 9

Check: (9x22) + (2x15) = 228
198 + 30 = 228