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. How many visitors were 18 or younger? 42 56 182 194

Answer 1

42 visitors were 18 or younger

Explanation:

Answer 2

42 visitors were 18 or younger

Explanation:

Let x be the number of visitors that are older than 18 and y be the number of visitors that are 18 years or younger.

The art museum had a total of 224 visitors on Tuesday, then x+y=224.

Visitors older than 18 paid $12 for admission, so x visitors paid $12x. Visitors 18 years or younger paid $8 for admission, then y visitors paid $8y. The museum collected a total of $2,520, thus,

12x+8y=2,520.

From the first equation, x=224-y. Substitute it into the second equation:

12(224-y)+8y=2,520,

2,688-12y+8y=2,520,

4y=168,

y=42

and

x=224-42=182.