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

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

randomuser · Answer

I do not want the answer just the steps leading up to the answer

satellite73 · Answer

how many steps would you like?
or rather, would you like to use two variables say $x.y$ or just one ?

randomuser · Answer

we just guide me how to figure this problem out

satellite73 · Answer

it is not like there is one way given by god or your math teacher, there are many ways, 
that is why i asked did you want one variable or two?

randomuser · Answer

which ever on is easier

satellite73 · Answer

they are equivalent, so lets use two

satellite73 · Answer

say $x$ is under 18, $y$ is over 18, then what is $x+y$ the total number of people who visited

randomuser · Answer

36

satellite73 · Answer

??

satellite73 · Answer

The art museum had a total of 224 visitors on Tuesday.

randomuser · Answer

oh i thought you asked my the sum of that equation?

satellite73 · Answer

lets try again 
x is the number of people under 18, y is the number older
what is $x+y$?

randomuser · Answer

224

satellite73 · Answer

whew 
so one equation we can write down is $$x+y=224$$ now we need another

satellite73 · Answer

if there are $x$ people under 18 who pay $12 a person, how much do the under 18 people pay total (your answer needs and x in it)

randomuser · Answer

18x= the total of how much the 18 or younger payed for?

satellite73 · Answer

no, but close 
forget about the number 18, i think it is confusing you 
say they are red and green instead of over 18 and under 18

satellite73 · Answer

if there are red people who pay $12 each, then they pay 12x total

satellite73 · Answer

and if there are y green people who pay $8 each they pay 8y  total

randomuser · Answer

I meant to put 8x = total

satellite73 · Answer

oh ok

satellite73 · Answer

ok typo there $$x+y=224\
8x+12y=2520$$ thats  better

randomuser · Answer

x = 182
y= 42

or is it opposite?

satellite73 · Answer

idk let me check

randomuser · Answer

i put it opposite

randomuser · Answer

x = 42
y = 182

satellite73 · Answer

yea x is 42, that is the answer they want, the younger

randomuser · Answer

the answer is 42

randomuser · Answer

I mean a

satellite73 · Answer

yes 42

randomuser · Answer

Thank you for your time and help

satellite73 · Answer

your welcome!