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.

Question

Thalia Bradshaw

Mathematics

8 December, 05:08

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.

+2

Answers (1)

Know the Answer?

Chelsea Landry · 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