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
