Question
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
x + y = 224
12x + 8y = 2,520
How many visitors were 18 or younger?
42
56
182
194
Answers
GPT 3.5
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.
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.