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

Answer:

40 children went on the cruise.

Step-by-step 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 $x = 57 - y$

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

$1254 - 22y + 10y = 774$

$12y = 480$

$y = \frac{480}{12}$

$y = 40$

40 children went on the cruise.