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?

Respuesta :

The visitors who were 18 or younger were: 42

Step-by-step explanation:

Let x be the number of visitors above 18 years

and

y be the number of visitors 18 or younger

Then according to given statements,

x+y = 224        Eqn 1

12x+8y = 2520     Eqn 2

From equation 1:

[tex]x = 224-y[/tex]

Putting in equation 2:

[tex]12(224-y) + 8y = 2520\\2688-12y+8y = 2520\\2688-4y=2520\\-4y = 2520-2688\\-4y = -168[/tex]

Dividing both sides by -4

[tex]\frac{-4y}{-4} = \frac{-168}{-4}\\y = 42[/tex]

Hence,

The visitors who were 18 or younger were: 42

Keywords: Linear equations, variable

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