The art museum had a total of 224 visitors on Tuesday. Visitors older than 18 paid $12 for admission. Visitors 18 years or younger paid $8 for admission. The museum collected a total of $2,520. The following system of equations models this scenario:

x + y = 224
12x + 8y = 2,520

How many visitors were 18 or younger?

42
56
182
194

1 answer

To solve this system of equations, we can use the substitution method.

From the first equation, we have x = 224 - y.

Substitute this into the second equation:
12(224 - y) + 8y = 2520
2688 - 12y + 8y = 2520
-4y = -168
y = 42

So, there were 42 visitors 18 years or younger.

Therefore the answer is 42.