Algebra

The Manhattan Island cruise Company sold 57 tickets for its Circle-the -Island Cruise. Each adult had to pay $22 for the cruise and each child had to pay $10. If the company's total receipts were $774. How many children went on the cruise?

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  1. x+y=57
    22x+10y=774

    -10(x+y=57
    -10x-10y=-570
    22x+10y=774
    --------------
    12x=204
    --- ---
    12 12

    x=17
    57-17= 40

    40 children went on the cruise?

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