Question

I need this in an EQUATION, not solved:

586 people attended a banquet at Disney. Residents paid $12.95 and non-residents paid $17.95. If Disney made $9423.70 from ticket sales, how many residents and non-residents attended?

Thanks!

Answer 1

So let's make Residents the variable X and non residents the Variable Y

If each X paid 12.95, how would we combine that?

Answer 2

@FortyTheRapper
I'm really not sure. I've worked on this problem for a while and still can't figure it out...

Answer 3

Since each resident pays 12.95, how would you find out how much 2 residents paid, for example?

Answer 4

Multiply that by 2.

Answer 5

Right! 2 was the number of residents, right? And we said X was the number of residents, so let's replace that to get the first part of our first equation (You need 2 equations)

12.95x

Now you would do the same for non-residents, just remember we said non-residents is y

Answer 6

So, so far we have:
12.95x
17.95y

Answer 7

Right and since the total was 9423.70, we wants to set this equal to those two we found.

12.95x + 17.95y = 9423.70

See how that first equation formed?

Answer 8

Yea, thanks! Is that all or is there another equation that is needed?

Answer 9

We need one more equation, so we can have a "System of Equations"

Now they also gave us 586 TOTAL attended, which means the residents and non residents combined

Have any idea on how this equation would look?

Answer 10

I'm not really sure...

Answer 11

Sorry, my connection timed out.

But the equation is basically saying that residents AND non residents total up to 586, making

X + Y = 586

Does that make sense on how I got that?

Answer 12

Yes! Thanks so much!