Question

Two families bought tickets for the big football game. One family ordered 2 adult tickets and 3 children's tickets for a total of
$50.00. Another family ordered 3 adult tickets and 4 children's tickets for a total of $71.00.
Write a system of linear equations that models this scenario by filling in the blanks below. Notice I have only provided the
variables and the equal sign, you will need to fill in all other numbers and/or symbols (like addition or subtraction).
Let the number of adult tickets and y-the number of children's tickets.

Answer 1

The cost per adult ticket is $13 and the cost per children ticket is $8

Step-by-step explanation:

Let the cost of adult tickets be 'x'

Let the cost of children tickets be 'y'

2x + 3y = 50

2x = 50 - 3y

x = (50 - 3y) /2

3x + 4y = 71

[3(50-3y) /2 ]+ 4y = 71

(150 - 9y) /2 + 4y = 71

150 - 9y + 8y = 142

150 - y = 142

y = 150 - 142

y = 8

x = (50-3y) /2

x = (50-24) /2

x = 13

The cost per adult ticket is $13 and the cost per children ticket is $8