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1 December, 18:55

Galen sold tickets of 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 slod. How many children's ticket and how many adult tickets did he sell?

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  1. 1 December, 19:22
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    615 children tickets

    195 adults tickets

    Step-by-step explanation:

    Let the number of children's tickets be c and the number of adult tickets be a.

    Children's ticket is $3 and adult's is $5 for a total of $2,820. This means:

    3c + 5a = 2,280

    This is the first equation.

    The number of children's tickets sold is 30 more than 3 times that of the adults. This means

    c = 3a + 30.

    This is equation ii. We now substitute ii into I to yield:

    3 (3a + 30) + 5a = 2,820

    9a + 90 + 5a = 2,820

    14a + 90 = 2,820

    14a = 2820 - 90

    14a = 2730

    a = 2730/14 = 195 tickets

    c = 3a + 30

    c = 3 (195) + 30 = 615
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