The cost of admission to a popular music concert was $162 for 12 children and 3 adults. The admission was $122 for 8 children and 3 adults in another music concert. How much was the admission for each child and adult?

A=adult ticket c = children ticket

12c+3a = 162

8c+3a=122

Multiply the second by - 1. Add both

And you have

4c=40

Divide both sides by 4

c=10 ...

The price for 12 children is $120

The price for 3 adults is $162-120 = $42

Each adult pays $12

Each child pays $10