If m = 9/25, w = 15/32, and m + w+ c = 1, which of the

Question

If m = 9/25, w = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?

A. c, m, w
B. c, w, m
C. m, w, c
D. w, c, m
E. w, m, c

PareshGmat · Accepted Answer

m = \frac{9}{25} > which is around \frac{1}{3} w = \frac{15}{32} > which is around \frac{1}{2} Together m & w would constitute around \frac{5}{6} , so the remaining c would be around \frac{1}{6} which is far less than m & w Increasing order: c, m w Answer = A Bunuel, Kindly update the OA

BrainLab · Answer

One can solve this one using 2 methods.

Method 1
- See the way PAresh did it. I've solved this the same when saw this problem in the test.

Mehod 2
 \frac{9}{25} = \frac{54}{150}  and  \frac{15}{32} = \frac{75}{150} , so  1-\frac{54}{150}-\frac{75}{150} , so it's evident that c<m<w

Answer A

gk3.14 · Answer

Ans e wmc w = 15/32 ~0.4 m = 9/24 = 0.36 c = 1 - (w + m) ~ 0.24 so w m c in descending order another :oops:

everything I do after 1 AM I seem to miss ascending: c m w..

gmatornot · Answer

Answer a - c, m, w

m ~ 1/3
w ~ 1/2

and m+w+c = 1 hence c ~ 1/6

Hence increasing order would be c -> m -> w

EconGirl · Answer

Don't feel too bad gk3.14 I did the same thing and I don't even have an excuse :oops:

GmatInstinct · Answer

This is Gmat Prep Question - I Ans as A ..coz that seem to make most sense and i thought i got that rite 

Where did u get the Ans as E ??

gk3.14 · Answer

I did not read the question right.. *** warning*** and thought it was asking for descending.. Like I said at 1 AM .. everything seems upside down.. :beat

yezz · Answer

If m = 9/25, w = 15/32, and m + w+ c = 1, which of the following gives the values of m, w, c in increasing order? 

a.c, m, w 
b.c, w, m 
c.m,w,c 
d.w,c,m 
e.w,m,c

w is approx = half

m is approx = 0.4
thus sure 

a is the answer increasing order ( c<m<w)

GMATT73 · Answer

Yes, decimals work faster than common denominators here. E would be correct if the question asked for DESCENDING order.

kanusha · Answer

m = 9/25 = 0.36 
w = 15/32 = 0.4 
On substituting C = 0.24 
c , m , w

zonebp · Answer

That made the problem look so easy

Thanks

TheKingInTheNorth · Answer

m = 9/25 = 0.36 
w = 15/32 = 0.4 
On substituting C = 0.24 
c , m , w on increasing order .

Probus · Answer

Hi,

Since we are going to use a lot of percent to decimal to fraction conversion, best is to convert in to % and compare.

Well lets see how the fractions fair in terms of "%"
so "m"=  \frac{9}{25}  is 36%.
w=  \frac{15}{32} <  \frac{15}{30}

\frac{1}{30}  is close to 3.33%

\frac{15}{32}  is 46%

so c =100-(36+46)= 18%

19<36<45
c<m<w

Probus

Kinshook · Answer

Given: m = 9/25, w = 15/32, and m + w + c = 1

Asked: Which of the following gives the values of m, w, and c in increasing order?

m = 9/25 = 36%
w = 15/32 = 47% approx
m + w + c = 100%
c = 100% - (36% + 47%) = 17%

c<m<w

IMO A

TestPrepUnlimited · Answer

We can see w = 15/32 is almost one half, and m is definitely smaller but sizable. This gives no room left for c to be greater than one half, therefore w must be the greatest. Looking at the choices we are left with A.

shweta5 · Answer

m =  \frac{9}{25}  > which is around  \frac{1}{3}

w =  \frac{15}{32}  > which is around  \frac{1}{2}

Together m & w would constitute around  \frac{5}{6} , so the remaining c would be around  \frac{1}{6}  which is far less than m & w

Increasing order: c, m w

Answer = A
Hi Paresh,

Please explain how 15/32>1/2
15/30=0.5 and 15/32=0.46....Also, if we have the same numerator and the denominator keep on increasing that I'll make the number smaller...right?
Please help me.

Corinamm · Answer

What level is this question? 600-650?

Abhishek009 · Answer

Yes certainly nothing more than that in my opiinion!!!

samarth1222 · Answer

Hi
Can u please explain how did u get 1/3 I also tried to simplify the expression to the lowest term but couldn't do it. 
Thanks

If m = 9/25, w = 15/32, and m + w+ c = 1, which of the

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If m = 9/25, w = 15/32, and m + w+ c = 1, which of the

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