Question

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

Answer 1

Please help :)

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

It just doesn't seem right!

Answer 6

i think i got a decimal also

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

x = 19?

Answer 11

So there are no non members? o_O

Answer 12

yep

Answer 13

OMG SO I WAS RIGHT THE WHOLE TIME

Answer 14

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

Answer 15

Never doubt yourself :p

Answer 16

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

Answer 17

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

Answer 18

But thank you so much @kc_kennylau !!!

Also, what grade level are you at, just curious :)

Answer 19

I'm at a level equivalent to grade 9

Answer 20

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

Answer 21

How o_O

Answer 22

Like how old are you?

Answer 23

15

Answer 24

Ok c;

Answer 25

how are you that smart

Answer 26

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

Answer 27

good job man

Answer 28

Only confusing thing know is me wondering why he did those:

---3
---4
---5

o_O

Answer 29

now*

Answer 30

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

Answer 31

So that I can refer to the equations

Answer 32

yeah :P

So all that stuff like (4) > 1:

is a system you developed for when you answer questions on here? Wow...interesting

Answer 33

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

Answer 34

But I'm too lazy

Answer 35

So that's a yes

Answer 36

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

Answer 37

I suppose so ;)