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Question

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

Answer 1

12c + 3a = 162

8c +3a = 122

4c = 40

c = $10 per child

a = (122-80)/3 = 42/3 = $14 per adult

12(10)+ 3(14)

= 120+42

=162

8(10)+3(14)

= 80+ 42

= 122