Acadiana Cinema 7 charges a special admission price for adults and a lower admission price for children. The total admission price for a group of 2 seniors and 9 children is $36. The total admission price for a group of 4 seniors and 6 adults is $30. What are the admission prices a senior and an adult?

Children = 2.25 ; Adult = 3.5

Explanation:

Given that :

Admission prices :

Let :

Senior fees = x

Children fees = y

2x + 9y = 36 - - - - - (1)

4x + 6y = 30 - - - - - (2)

Multiply (1) by 2 and (2) by 1

4x + 18y = 72 - - - (3)

4x + 6y = 30 - - - (4)

Subtract 4 from 3

12y = 42

y = 42 /12

y = 3.5

Put y = 3.5 in (2)

4x + 6(3.5) = 30

4x + 21 = 30

4x = 30 - 21

4x = 9

x = 9/4

x = 2.25

Children = 2.25 ; Adult = 3.5

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