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.

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.

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Ariana 3 months 2022-02-05T11:50:30+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-02-05T11:51:59+00:00

    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

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