Question

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?
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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