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?

Answer: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 = 224The price of admission for visitor older than 18 years = $ 12The price of admission for visitor 18 years or younger than 18 years  = $ 8The total price of tickets = $ 2,520Let The number of  visitor older than 18 years = xAnd The number of visitor 18 years or younger than 18 years = yNow, According to questionThe total number visitor in the museum = 224Or, The number of  visitor older than 18 years  +  The number of visitor 18 years or younger than 18 years = 224Or, x + y = 224And $ 12 x + $ 8 y = $ 2,520         ..........AOr, $ 12 × ( x + y ) =  $ 12 × 224Or,   $ 12 x + $ 12 y = $ 2688         ..........BSolving Eq A and BOr, (  $ 12 x + $ 12 y ) - (  $ 12 x + $ 8 y ) = $ 2688 - $ 2520Or, (  $ 12 x - $ 12 x ) + (  $ 12 y - $ 8 y ) = $ 168Or, 0 + 4 y = 168∴  y = [tex]\frac{168}{4}[/tex]I.e y = 42So, The number of visitor 18 years or younger than 18 years = y = 42And ∵  x + y = 224I,e  x = 224 - yor,  x = 224 - 42∴  x = 182So, The number of  visitor older than 18 years = x = 182Hence The number of visitor 18 years or younger than 18 years is 42 . Answer