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

it would be heredity

emerging idea only occurs as a raw idea that could appear out of nowhere. meanwhile, to reach scientific consensus , that idea must be structured and tested over and over again through various experiments. the scientific consensus transforms the raw idea into idea that is more reliable through the process of scientific elimination.