Question

A survey about favoritecolors reports that EXACTLY:
12% of those surveyed prefer red
14% of those surveyed prefer Orange
28% of those surveyed prefer purple
30% of those surveyed prefer Blue
16% of those surveyed prefer green

What is the smallest number of people that could have taken the survey? Explain
Updated 3 minutes ago

Answer 1

hi

Answer 2

...

Answer 3

so we want an integer , a positive integer solution

Answer 4

I would start by expressing each as a fraction over 100 and reducing to get closer to finding the least common multiple of the denominators

Answer 5

so total must be divisible
by

Answer 6

ENGLISH PEOPLE ENGLISH

Answer 7

tons is right

Answer 8

tonks*

Answer 9

is anybody good at java programming

Answer 10

In english what he said means?

Answer 11

12/100= 3/25

Answer 12

12 out of 100 is 6 out of 50 or 3 out of 25

Answer 13

WHERE R U GETTING THESE NUMBERS

Answer 14

while 14 out of 100 is 7 out of 50 and can't be reduced any further

Answer 15

percent means out of 100

Answer 16

...so 12% = 12 out of 100 or 12/100 which reduces like a fraction to 6/50 and 3/25

Answer 17

28/100=7/25

Answer 18

.30=3/10

Answer 19

ya

so the minimum ammount of people is 10?

Answer 20

.16=4/25

Answer 21

ok so we want a number that is divisible by all those denominators

Answer 22

Im not good with m,ath but i can rock your orld with any other subject
>.<

Answer 23

So, if you look at all of them, they all can be out of 100, obviously, but there is a smaller number that they all can be out of

Answer 24

can they all be expressed as a whole number out of 25 by reducing like in the process above?

Answer 25

Uhhh

Answer 26

or rather

Answer 27

idk...?

Answer 28

like 12% = 12/100 = 3/25, can they all go to out of 25?

Answer 29

multiply all the denominators

Answer 30

SO MANY WORDS... its like a mathbook

Answer 31

im not sure if they can

Answer 32

I am using "like" and "out of", do you want help or the answer

Answer 33

Help
What do you mean by "Like"

Answer 34

for instance

Answer 35

so the smallest number sampled possibly is
25*50*25*10*25

Answer 36

We're not on facebook.... lol

Answer 37

tonks, do you concur

Answer 38

lol

Answer 39

no, I think there is a faster way, by noticing what they can reduce to

Answer 40

I DONT SPEAK MATH.... MUST.... FIND.... TANSLATOR.....

Answer 41

i think this is the only way

Answer 42

reduce the fractions to lowest terms, and then find the product of the denominators?

Answer 43

oh theres redundancy

Answer 44

WHAT IS A LOWEST TERM?

Answer 45

like 3/6 = 1/2 , lowest terms

Answer 46

and what's redundancy...
IM IN THE 7TH GRADE

Answer 47

You mean shrink them....

Answer 48

so the answer is 50

Answer 49

12% of those surveyed prefer red = 12/100 = 6/50 = 3/25
14% of those surveyed prefer Orange = 7/50
28% of those surveyed prefer purple = 28/100 = 14/50
30% of those surveyed prefer Blue = 30/100 = 15/50
16% of those surveyed prefer green = 16/100 = 8/50

Notice that MOST of them can be expressed as a whole number out of 25, but not ALL of them...

Answer 50

all the denominators go into that, thats the lowest common multipled of
25,50,25,10,25

Answer 51

so then its 50

Answer 52

While ALL of them can be rewritten as a whole number out of 50, so the answer is....

Answer 53

so how do i figure it out? xD

Answer 54

you rub a magic lamp, and say , genie genie please give me answer

Answer 55

^^^^^

Answer 56

if that doesnt work, you can always pay me

Answer 57

Cantor ill give you a medal

Answer 58

MY BRAIN HURTS D:

Answer 59

12% of those surveyed prefer red = 12/100 = 6/50 = 3/25
14% of those surveyed prefer Orange = 7/50
28% of those surveyed prefer purple = 28/100 = 14/50
30% of those surveyed prefer Blue = 30/100 = 15/50
16% of those surveyed prefer green = 16/100 = 8/50

Notice that MOST of them can be expressed as a whole number out of 25, but not ALL of them. While all of them can be rewritten as a fraction with a whole number on top and 50 in the bottom. The top of the fraction is the part and the bottom is the amount that it was "out of".

Answer 60

Good luck, Zelando!

Answer 61

so the smallest number of people is 50?

Answer 62

ok zelando, say you have 12/100 , right ?

Answer 63

YES!

Answer 64

Ok

Answer 65

12/100 * total must equal to an integer

Answer 66

:D

Answer 67

I have smarticles!

Answer 68

12/100 = 3/25, so we need a number that cancel with the denominator

Answer 69

at the very least

Answer 70

TOnks - you earned yourself a medal and you too can :)

Answer 71

so like 12/100 * 25 works, since you get 12/100 = 3/25 and 3/25 * 25 = 3

Answer 72

Wow, thanks

Answer 73

:)

Answer 74

ok so far?

Answer 75

Can - its 50 lmao

Answer 76

i know, im building up to that

Answer 77

lol all drematic

Answer 78

zelando, are you good at analytic geometry , i got a tough problem

Answer 79

find an equation of two tangents through a point outside a circle to a given circle

Answer 80

so youre given P(a,b), do you know calculus ?

Answer 81

tonka, are we good?

Answer 82

What's Analytic geometry?

Answer 83

<---- 7th grader

Answer 84

geometry plus xy plane

Answer 85

^-----

Answer 86

I know how to find dimater of a circle...

Answer 87

oh nevermind

Answer 88

lol