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25 January, 17:17

The local theater is showing a matinee and offering a special deal for the community. A ticket for an adult costs $11 and a ticket for a child costs $6. The theater sells a total of 60 tickets and collects $460. *

How many adult tickets "x" and children tickets "y" are sold?

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  1. 25 January, 17:43
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    First, x+y=60 and solve for x

    x = 60-y

    Then set up the equation 11x+6y=460

    Since, x=60-y, you plug in for y

    11 (60-y) + 6y=460

    660-11y+6y=460

    660-5y=460

    660-660-5y=460-660

    -5y=-200

    Divide both sides by 5 (you can drop the negative because they are both negative)

    5y/5 = 200/5

    y=40

    Then take y & plug it back into the original equation of:

    x+y = 60 (solve for x)

    x+40=60

    x+40-40=60-40

    x=20

    The answer is 20 adult tickets (x) and 40 child tickets (y) were sold.
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