Question

At a theater, the price of 4 adult
tickets and 3 child tickets is $156,
The price of 3 adult tickets and 4
child tickets is $145. What is the
ticket price for one adult and for
one child?

Answer 1

Answer:

The price of adult tickets =  $27

The price of child tickets = $16

Step-by-step explanation:

The price of adult tickets = x

The price of child tickets = y

4x +3y = 156           ---------------------> equ 1

3x + 4y = 145           ---------------------> equ 2

multiply  equ 1  by 3 ===>    12x + 9y  = 468

multiply  equ 1  by 4 ===>    12x + 16y  = 580

subtract ,                                      -7y = -112

                                                        y = -112/-7

                                                        y = 16  

Substitute y value in equ 1,

                  4x + 3*16 = 156

                     4x + 48 = 156

                              4x = 156 - 48

                               4x = 108

                                 x = 108/4

                                  x = 27

The price of adult tickets =  $27

The price of child tickets = $16