If 4 men in 5 days eat 7 lb. of bread, how much will sufficient for 16

Question

Competition Mode Question

If 4 men in 5 days eat 7 lb. of bread, how much will sufficient for 16 men in 15 days ?

A. 72 lb.
B. 76 lb.
C. 78 lb.
D. 82 lb.
E. 84 lb.

RaghavKhanna · Answer

According to the concept:

(M1 * D1)/W1 = (M2 * D2)/W2

=> (4*5)/7 = (16*15)/W2
=>W2 = (16*15*7) / (4*5)

=> W2 = 84

Answer: E

MayankSingh · Answer

IMO E

4 Men - 5 Days -> 7 Lb
1 Man - 5 Days -> 7/4 Lb
1 Man - 1 Day -> 7/4x5 Lb

So, 16 Men - 15 Day -> (7/4x5)x16x15 = 84 Lb

E. 84 lb.

bM22 · Answer

Given: 4 men can eat 7 lb. of bread, in 5 days
=> In 15 days, 4 men can eat = 21 lb of bread.
=> In 15 days 16 men can eat = 21*4 = 84 lb of bread

Answer E.

sachin91 · Answer

Applying the concept of Variation or Chain Rule as we call it. 
Quantity of bread needed = 7 *(16/4)*(15/5) = 84lb

OA:E

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yashikaaggarwal · Answer

If 4 men in 5 days eat 7 lb. of bread,
4 men can eat 7lbs bread in 5 days.
1 man can eat 1.75lbs in 5 days
1 man can eat 0.35lbs in a day.

how much will sufficient for 16 men in 15 days 
=> 16 men will eat 16*0.35lbs in a day.
=> 16 men will eat 5.6lbs in a day.
=> 16 men will eat 5.6*15 lbs in 15 days.
=> 16 men can eat 84 lbs in 15 days

Answer is E

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Camach700 · Answer

Men - Days - Lb
(4) - (5) - (7)

(16) - (15) - (7x4x3 = 84 Lb)

Ans E

dimri10 · Answer

84 
16 men will eat *4
15 days are *3 
So 7*12

4====7=====5
1=====7===20
1=====7/20=====1
So 7/20 is 1 man for 1 day
7/20*16*15= 84

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exc4libur · Answer

n*rate*time=work
4*r*5=7, r=7/20
16r15=work
16(7/20)15=84

Ans (E)

naveenban · Answer

If 4 men in 5 days eat 7 lb. of bread, how much will sufficient for 16 men in 15 days ?

4 men in 5 days consume = 4*5 = 7 lb bread
1 man in 1 Day consumes = 7 / (4*5) lb bread
16 men in 15 days = 16 * 15 * 7 / ( 4* 5 ) = 84 lb Bread
Ans E

Archit3110 · Answer

use
m1*t1/w1 = m2*t2/w2
target find w2
4*5/7 = 16*15/w2
w2 = 84
OPTION E

If 4 men in 5 days eat 7 lb. of bread, how much will sufficient for 16 men in 15 days ?

A. 72 lb.
B. 76 lb.
C. 78 lb.
D. 82 lb.
E. 84 lb.

Saasingh · Answer

OA - E

We have a formula :

(M1 * D1 * H1 )/ W1 = (M2 * D2 * H2 )/ W2

Where M is number of men, D is number of days taken by men, H is number of hours the men work per day, and W is the work done.

We get this formula by ratio and proportion.

Simply putting the values we get 4*5/8 = 16*15/W2

W2 = 84

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HoneyLemon · Answer

-------------Men ------------Days----------------Total Bread----

-------------4-------------------5-------------------7 lb----

-------------1-------------------1----------------- \frac{7 lb }{ (4*5)} ----

-------------16------------------15------------ \frac{(7 * 16 * 15 ) lb }{ (4*5) }  = 84 lb----

Ans is  E

RajatJ79 · Answer

4 men in 5 days eat 7 lb. of bread,

(4*5) = 7k
where k is a variable

for 16 men in 15 days, we have
(16*15) = xk

Dividing equation by each other, we have

20/(16*15) = 7/x

Solving for x, we get x = 84.

Answer E.

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sumittewari93 · Answer

We can use formula of M1 * D1 * T1 /W1 = M2 * D2 * T2 /W2

4*5/7=16*15/X

x= 84

monikakumar · Answer

If 4 men in 5 days eat 7 lb. of bread, how much will sufficient for 16 men in 15 days ?

A. 72 lb.
B. 76 lb.
C. 78 lb.
D. 82 lb.
E. 84 lb.

solution:

7*(16/4)*(15/5)
84
=> 84lb
Ans E

hemantbafna · Answer

7lb*16/4*15*5=84

E

The concept is basically if number of men increase then we will need more food then we need to multiply 7 with more men divided by less of men. So and so forth for for other factors.

If 4 men in 5 days eat 7 lb. of bread, how much will sufficient for 16

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GMAT Problem Solving (PS) Questions

If 4 men in 5 days eat 7 lb. of bread, how much will sufficient for 16

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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745 with Only Self-Prep and GMAT Club

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My Rewards