let A be the cost of adult tickets

let C be the cost of children tickets

2A + 3C = 27.75 eq. 1

3A + 2C = 32.25 eq. 2

multiply eq.1 by -3 and multiply eq. 2 by 2:

-6A - 9C = -83.25 eq. 3

6A + 4C = 64.50 eq. 4

add eq. 3 and eq. 4:

-5C = -18.75

C = $3.75

plug in value of C into eq. 1 to get A:

2A + 3 * (3.75) = 27.75

2A + 11.25 = 27.75

2A = 27.75 - 11.25

2A = 16.50

A = $8.25

so, **A = $8.25 and C = $3.75**

Christopher L.

06/27/17