Question

188 ASU students, faculty, and staff were randomly surveyed and asked if they have an
ASU parking decal, ride their bike to campus, or ride the Light Rail. Here are the results:
• 77 said they have an ASU parking decal
• 75 said they ride their bike to campus
• 91 said they ride the Light Rail.
• 12 people have an ASU parking decal, ride their bike, and ride the Light Rail
• 18 people have an ASU parking decal and ride the Light Rail.
• 39 people ride their bike to campus and ride the Light Rail.
• 20 people have a parking decal and ride their bike to campus.

Answer 1

a. Draw an accurate Venn diagram to represent this situation.
b. How many respondents ride the Light Rail and ride their bike to campus?
c. How many respondents only have an ASU parking decal?
d. How many respondents ride the Light Rail or has an ASU decal?
e. Shade the area on your Venn diagram that represents people who have a parking decal
or who ride their bike to campus but who do not ride the Light Rail

Answer 2

is b. 39?
is c. 77? or is it 77-20?
is d. 18? or is it 77+18+91 or what....

Answer 3

@SmoothMath wanna help me, again ;)?

Answer 4

wait is b. 20...? because you subtract all other numbers inside that circle?

Answer 5

i mean c

Answer 6

Your venn diagram is kind of wrong.

Answer 7

oops.. whats wrong lol?

Answer 8

Think about just the asu parking decal circle as an example.
Add up those numbers, and you get 127 students total, but there are only 77 that have a decal. The problem is that you're counting students twice.

Answer 9

Draw your diagram again and try to fill in the different sections with ONLY the numbers that belong there.

Answer 10

Start in the sections with the most overlap.

Answer 11

what you mean that only belong there?

Answer 12

is the 77, 75, and 91 in the right place?

Answer 13

Okay so start in the middle. They say that 12 people own all 3. So you can put 12 in that space where all 3 over lap. No, consider the part where only the parking pass and rail overlap. The problem tells you that 18 own both of these things, but the people who own all three have to be included in that. So how many own ONLY those 2 and not the third thing?

Answer 14

20

Answer 15

woah whut.

Answer 16

20 people have both parking decal and ride their bike. that what u asked right ?

Answer 17

is this right so far ?

Answer 18

Can't read it. It's tiny, but probably not.

Answer 19

:O hahaha oh thanks.

Answer 20

There's a concept you're just not getting...

Answer 21

i put 12 in the middle where all three overlap is that right?

Answer 22

Yes.

Answer 23

Now, 12 people own all 3. 18 people own a pass and ride the rail. Are those first 12 people included in that 18?

Answer 24

yes, there in the same circle?

Answer 25

does 6 go in the area of parking decal and light rail ?

Answer 26

Yes. 6 people have both of those things but not the third thing.

Answer 27

okay so where i put 18 that is 6 and where i put 39 that is 27.

Answer 28

You don't put 18 anywhere. the 18 comes from the 6+12.

Answer 29

12 that own all 3 plus the 6 that own two but not the third.

Answer 30

I know! LOL I'm saying before i put 18 there but now it should be changed to 6

Answer 31

and the other side i put 39 but that should be 27.

Answer 32

Right. Good. On the overlap between bike and rail.

Answer 33

okay now do i minus 77 from all three in that circle to get only parking decal

Answer 34

Do you understand now what I meant when I was saying you were counting people twice?

Answer 35

yeah i got that.

Answer 36

Yeah, so when you read the fact that 77 people own a decal, that means that all 4 regions of the decal circle should add up to 77.

Answer 37

so 39

Answer 38

Um, I think you might have made one mistake. I'm not sure. It depends on where you put the 27

Answer 39

Just think about it for yourself. When you read the sentence, think about what overlap that sentence is talking about.

Answer 40

I added 20+12+6=38
77-38= 39

39+20+12+6= 77 people in the decal circle.

the 27 i put where the bike and light rail overlap.

Answer 41

20 is wrong. You're counting people twice =(

Answer 42

ughh.. goes in the overlap of decal and bike?

Answer 43

is it 2?