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?

Answer 1

ok so 18 and older = x and 18 and younger = y

12x + 8y = 2,520
x + y = 224

right @pooja195

Answer 2

Correct!

Answer 3

Now, since 'y' is younger, solve for 'y'.

Answer 4

ok give me a sec

Answer 5

We can re-arrange the 2nd equation:

x + y = 224

Subtract 'y' to both sides:

x = -y + 224

Plug in '-y + 224' for 'x' in the first equation:

12(-y + 224) + 8y = 2,520

Simplify and solve for 'y'

Answer 6

Yes, Thats a good idea Green

Answer 7

Are you a teacher..?

Answer 8

Yes I am.

Answer 9

I teach 8th Grade Math

Answer 10

Oh, well you might want to read OpenStudy's \(\bf\color{blue}{\underline{{\href{http:///openstudy.com/users/mlpsisters7}{Code~of~Conduct}}}}\).

Answer 11

I might be a Math Teacher when I grow up..I'm only 14 ATM though :P

Answer 12

I teach 8th Grade Math

Answer 13

I got x = 182 and y = 42
plug them in

12*182 + 8*42 = 2,520
2184 + 336 = 2520
2520 = 2520

182 + 42 = 224
224 = 224

there

Answer 14

Right! =)

Oh and

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\(\huge \color{blueviolet}{\heartsuit^{\LARGE \heartsuit^{\Large \heartsuit}}}\) \(\huge \huge \rlap{\bbox[5pt, ,border:8px solid #2aacd7 ]{\Huge\color{#84c73c}{\rm
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@Mrs_Lopez

Answer 15

Correct

Answer 16

Thank You very much @sammixboo

Answer 17

Yep, 42 is our answer then :P