Answer:
The answer to your question is 10 children and 4 adults
Explanation:
Data
Adult cost = a = $11
Children cost = c= $7.50
Total people = 14
Total cost = $119
Number of adults and children = ?
Process
1.- Write two equations to solve this problem
a + c = 14 ----------- l
11a + 7.5c = 119 ----------- ll
2.- Solve the equations by elimination
Multiply equation I by -11
- 11 a - 11c = -154
11a + 7.5c = 119
0 -3.5c = -35
c = -35/-3.5
c = 10
3.- Find a
a + 10 = 14
a = 14 - 10
a = 4
4.- Conclusion
The group bought 4 tickets for adults and 10 tickets for children.