sparklyme
  • sparklyme
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!
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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FortyTheRapper
  • FortyTheRapper
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?
sparklyme
  • sparklyme
@FortyTheRapper I'm really not sure. I've worked on this problem for a while and still can't figure it out...
FortyTheRapper
  • FortyTheRapper
Since each resident pays 12.95, how would you find out how much 2 residents paid, for example?

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sparklyme
  • sparklyme
Multiply that by 2.
FortyTheRapper
  • FortyTheRapper
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
sparklyme
  • sparklyme
So, so far we have: 12.95x 17.95y
FortyTheRapper
  • FortyTheRapper
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?
sparklyme
  • sparklyme
Yea, thanks! Is that all or is there another equation that is needed?
FortyTheRapper
  • FortyTheRapper
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?
sparklyme
  • sparklyme
I'm not really sure...
FortyTheRapper
  • FortyTheRapper
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?
sparklyme
  • sparklyme
Yes! Thanks so much!

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