Question

5.

3. 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. The company's total receipts were $774. How
many children went on the cruise?

Answer 1

40 children went on the cruise.

Explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that
`x + y = 57`, and since we want the number of children y,
`x = 57 - y`

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

`22x + 10y = 774`

Since
`x = 57 - y`

`22(57 - y) + 10y = 774`

`1254 - 22y + 10y = 774`

`12y = 480`

`y = (480)/(12)`

`y = 40`

40 children went on the cruise.