The art museum had a total of 224 visitors on tuesday. visitors older than 18 paid 12 dollars for admission. visitors 18 or younger paid 8 dollars for admission. the museum collected a total of 2,520 dollars. how many visitors were 18 or younger?

The number of visitor 18 years or younger than 18 years is 42 .

Step-by-step explanation:

Given as :

The total number visitor in the museum = 224

The price of admission for visitor older than 18 years = $ 12

The price of admission for visitor 18 years or younger than 18 years  = $ 8

The total price of tickets = $ 2,520

Let The number of  visitor older than 18 years = x

And The number of visitor 18 years or younger than 18 years = y

Now, According to question

The total number visitor in the museum = 224

Or, The number of  visitor older than 18 years  +  The number of visitor 18 years or younger than 18 years = 224

Or, x + y = 224

And $ 12 x + $ 8 y = $ 2,520         ..........A

Or, $ 12 × ( x + y ) =  $ 12 × 224

Or,   $ 12 x + $ 12 y = $ 2688         ..........B

Solving Eq A and B

Or, (  $ 12 x + $ 12 y ) - (  $ 12 x + $ 8 y ) = $ 2688 - $ 2520

Or, (  $ 12 x - $ 12 x ) + (  $ 12 y - $ 8 y ) = $ 168

Or, 0 + 4 y = 168

∴  y =

I.e y = 42

So, The number of visitor 18 years or younger than 18 years = y = 42

And ∵  x + y = 224

I,e  x = 224 - y

or,  x = 224 - 42

∴  x = 182

So, The number of  visitor older than 18 years = x = 182

Hence The number of visitor 18 years or younger than 18 years is 42 . Answer

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

1 3 5

step-by-step explanation:

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