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31 October, 03:21

Galen sold tickets for his church's carnival for a total of $2,820. Children's tickets cost $3 each and adult tickets cost $5 each. The number of children's tickets sold was 30 more than 3 times the number of adult tickets sold. How many children's tickets and how many adult tickets did he sell?

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  1. 31 October, 04:38
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    a = 195; c = 615

    Step-by-step explanation:

    So, you want to start by forming your equations ...

    I will use 'c' for children and 'a' for adults for my variables

    3a + 30 = c

    (this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)

    then for equation 2:

    3c + 5a = 2820

    (this is because of the prices of the tickets and the total money raised)

    Then, plug in the equation for c

    Your equation should look like:

    3 (3a + 30) + 5a = 2820

    You get:

    (9a + 90) + 5a = 2820

    Then:

    14a = 2730

    So:

    a = 195 adult tickets sold

    Plug in a, to find c:

    3 (195) + 30 = c

    585 + 30 = c

    c = 615 children tickets sold
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