In a marketing survey, 60 people were asked to rank three flavors of ice cream, chocolate, vanilla, and strawberry, in order of their preference. all 60 people responded, and no two flavors were ranked equally by any of the people surveyed. of of the people ranked vanilla last, of them ranked vanilla before chocolate, and of them ranked vanilla before strawberry, how many people ranked vanilla first?

2 people

Step-by-step explanation:

"A poll asked 60 people what their favorite ice cream was between Vanilla, Chocolate, and Strawberry. There were no ties, meaning every person was asked to rank the flavors in order. 3/5 had Vanilla in last place, 1/10 had Vanilla ahead of Chocolate, and 1/3 ranked Vanilla ahead of Strawberry. How many people ranked Vanilla in the first place?"

Total 60 people. No ties.

3/5.60 = 36

1/10.60 = 6

1/3.60 = 20

People could have ranked the 3 flavors like:

     1st place    | 2nd place   | 3rd place

A - Vanilla        | Chocolate  | Strawberry

B - Vanilla        | Strawberry | Chocolate  

C - Chocolate  | Strawberry | Vanilla    

D - Chocolate  | Vanilla        | Strawberry        

E - Strawberry | Chocolate  | Vanilla      

F - Strawberry | Vanilla        | Chocolate        

This way, we have:

C + E = 36

A + B + F = 6

A + B + D = 20

We want to know A + B.

Adding all, we have

C + E = 36

A + B + F = 6

A + B + D = 20

A + B + F + A + B + D + C + E = 36 + 6 + 20

A + B + A + B + C + D + E + F = 62

As, we have 60 people and no ties, we know that

A + B + C + D + E + F = 60, so

A + B + A + B + C + D + E + F = 62

A + B + 60 = 62

A + B = 62 - 60

A + B = 2

ian gonna lie that is way to much

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!