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2 August, 02:41

On a consert the tickets cost 3$ for children, and 5$ for adults. The combined income is 360$ and 84 tickets were sold. How many children and how many adults bought tickets?

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  1. 2 August, 03:08
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    Let x equal the # of child tickets

    Let y equal the # of adult tickets

    x + y = 84

    3x + 5y = 360

    Solve and state the answer. Use the substitution method to solve this system. Solve the first equation for x.

    x + y = 84

    x = 84 - y

    Now substitute the resulting expression into the other equation and solve for y.

    3 (84 - y) + 5y = 360

    252 - 3y + 5y = 360

    Combine like terms

    252 + 2y = 360

    Subtract 252 from both sides

    2y = 108

    Divide by 2 on both sides

    y = 54

    Substitute the value of y into the equation that we solved for x, x = 84 - y

    x = 84 - 54

    x = 30

    Therefore the answer should be, 30 childrens tickets sold and 54 adult tickets sold.
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