Question

I just need help setting up the equation will give medal and become a fan!!!!!!!
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

hmm, well, you could guess and check

Answer 2

but that could take a long period of time

Answer 3

Wait, i have an answer

Answer 4

A 42

Answer 5

hmm, well that didnt take long at all XD much shorter time used than expected

Answer 6

let x be visitors under 18 years age=x,then
\[8x+(224-x)*12=2520\]
8x+2688-12x=2520
-4x=2520-2688
x=?

Answer 7

X=42, then, and that there assures it

Answer 8

but you are missing a step, @surjithayer

Answer 9

wait, ALL the fours in the semifinal line are negative, I made a mishap

Answer 10

8x+2688-12x=2520
-4x=2520-2688
-4x/-4=-166/-4 x=?

Answer 11

So what would be the process to solve if@surjithayer is missing a step?!

Answer 12

i have short listed in line two.i.e,
visitors over 18=224-x
in first line it should be
visitors of 18 and under 18=x

Answer 13

-4x=-168
\[x=\frac{ -168 }{ -4 }=42\]

Answer 14

Ok thank you guys so much !

Answer 15

yw