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

- anonymous

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- anonymous

hi

- anonymous

...

- anonymous

so we want an integer , a positive integer solution

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## More answers

- anonymous

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

- anonymous

so total must be divisible
by

- anonymous

ENGLISH PEOPLE ENGLISH

- anonymous

tons is right

- anonymous

tonks*

- anonymous

is anybody good at java programming

- anonymous

In english what he said means?

- anonymous

12/100= 3/25

- anonymous

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

- anonymous

WHERE R U GETTING THESE NUMBERS

- anonymous

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

- anonymous

percent means out of 100

- anonymous

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

- anonymous

28/100=7/25

- anonymous

.30=3/10

- anonymous

ya
so the minimum ammount of people is 10?

- anonymous

.16=4/25

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

Uhhh

- anonymous

or rather

- anonymous

idk...?

- anonymous

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

- anonymous

multiply all the denominators

- anonymous

SO MANY WORDS... its like a mathbook

- anonymous

im not sure if they can

- anonymous

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

- anonymous

Help
What do you mean by "Like"

- anonymous

for instance

- anonymous

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

- anonymous

We're not on facebook.... lol

- anonymous

tonks, do you concur

- anonymous

lol

- anonymous

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

- anonymous

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

- anonymous

i think this is the only way

- anonymous

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

- anonymous

oh theres redundancy

- anonymous

WHAT IS A LOWEST TERM?

- anonymous

like 3/6 = 1/2 , lowest terms

- anonymous

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

- anonymous

You mean shrink them....

- anonymous

so the answer is 50

- anonymous

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...

- anonymous

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

- anonymous

so then its 50

- anonymous

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

- anonymous

so how do i figure it out? xD

- anonymous

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

- anonymous

^^^^^

- anonymous

if that doesnt work, you can always pay me

- anonymous

Cantor ill give you a medal

- anonymous

MY BRAIN HURTS D:

- anonymous

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".

- anonymous

Good luck, Zelando!

- anonymous

so the smallest number of people is 50?

- anonymous

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

- anonymous

YES!

- anonymous

Ok

- anonymous

12/100 * total must equal to an integer

- anonymous

:D

- anonymous

I have smarticles!

- anonymous

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

- anonymous

at the very least

- anonymous

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

- anonymous

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

- anonymous

Wow, thanks

- anonymous

:)

- anonymous

ok so far?

- anonymous

Can - its 50 lmao

- anonymous

i know, im building up to that

- anonymous

lol all drematic

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

tonka, are we good?

- anonymous

What's Analytic geometry?

- anonymous

<---- 7th grader

- anonymous

geometry plus xy plane

- anonymous

^-----

- anonymous

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

- anonymous

oh nevermind

- anonymous

lol

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