Question

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

Answer 1

Answer: the cost of admission for each child is $10

the cost of admission for each adult is $14

Step-by-step explanation:

Let x represent the cost of admission for each child.

Let y represent the cost of admission for each adult.

The cost of admission to a popular music concert was 162 dollars for 12 children and 3 adults. This is expressed as

12x + 3y = 162- - - - - - - - - - - - -1

The admission was 122 dollars for 8 children and 3 adults in another music concert. This is expressed as

8x + 3y = 122- - - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

4x = 40

x = 40/4

x = 10

Substituting x = 10 into equation 1, it becomes

12 × 10 + 3y = 162

120 + 3y = 162

3y = 162 - 120

3y = 42

y = 42/3

y = 14