How many students and adults were in the group

Question

A a group of 19 students and adults went to the museum. The ticket price for a student was $4 and a ticket price for an adult was $10. The total cost of the tickets for the group was $118.

The number of students in the group was:

The the number of adults in the group was:

Answer 1

Suppose there were s students and a adults

Then

s + a = 19 1

4s + 10a = 118 2

4s + 4a = 76 3 = 4 (1)

6a = 42 2 - 3

a = 7

s = 19-a = 12 from 1

So 12 students and 7 adults