## SarahLove<3 one year ago A group of 19 students want to see the show at the planetarium. Tickets cost \$11 for each student who is a member of the planetaruim's frequent visitor program and \$13 for each student who is not a member. The total cost of the student's tickets is \$209. How many students in the group are members of the frequent visitor program? How many are not members? Explain how you know. @Squirrels @prowrestler @dan815

1. SarahLove<3

2. dan815

x+y=19 11(x)+13(y)=209 solve for x and y

3. prowrestler

is there a shorter version to do this that' should be a lot of work

4. SarahLove<3

I solve for it and I always get like 19 or some decimal o-o

5. SarahLove<3

It just doesn't seem right!

6. prowrestler

i think i got a decimal also

7. SarahLove<3

But putting the decimal back in for x and such it doesn't add up correctly to 209 v-v I was told that @dan815 was really smart, I was hoping he could help me

8. SarahLove<3

@kc_kennylau can you assist me? I really need help with this v-v

9. kc_kennylau

(1)x11: 11x+11y = 209 ---(3) (2)-(3): 2y=0 --> y=0 ---(4) (4)>(1): x=19 ---(5)

10. SarahLove<3

x = 19?

11. SarahLove<3

So there are no non members? o_O

12. kc_kennylau

yep

13. SarahLove<3

OMG SO I WAS RIGHT THE WHOLE TIME

14. SarahLove<3

It just seemed so weird, why would they have it like that o-o

15. kc_kennylau

Never doubt yourself :p

16. SarahLove<3

I'm in an Algebra honors class, I get everything else except these type of problems v-v

17. SarahLove<3

So when something that weird shows up, I'm unsure if it's correct or not

18. SarahLove<3

But thank you so much @kc_kennylau !!! Also, what grade level are you at, just curious :)

19. kc_kennylau

I'm at a level equivalent to grade 9

20. kc_kennylau

I will be at a level equivalent to grade 10 in september

21. SarahLove<3

How o_O

22. SarahLove<3

Like how old are you?

23. kc_kennylau

15

24. SarahLove<3

Ok c;

25. prowrestler

how are you that smart

26. SarahLove<3

People work really hard to get to that level of intellect!

27. prowrestler

good job man

28. SarahLove<3

Only confusing thing know is me wondering why he did those: ---3 ---4 ---5 o_O

29. SarahLove<3

now*

30. SarahLove<3

Is that some sort of way to keep your equation organized or something

31. kc_kennylau

So that I can refer to the equations

32. SarahLove<3

yeah :P So all that stuff like (4) > 1: is a system you developed for when you answer questions on here? Wow...interesting

33. kc_kennylau

I usually write subst (4) into (1) in exams

34. kc_kennylau

But I'm too lazy

35. kc_kennylau

So that's a yes

36. SarahLove<3

Arent we all lazy in our own special little ways? haha :P

37. kc_kennylau

I suppose so ;)