The weights of one liter vegetable ghee packet of two brands

Question

The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 900 gm and 850 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?

A.) 3.84
B.) 1.75
C.) 3.52
D.) 2.72
E.) None of these

A.) 3.84 
B.) 1.75 
C.) 3.52 
D.) 2.72 
E.) None of these

geneticsgene · Accepted Answer

The 2 brands are mixed in the ratio 3: 2 =>3x900 + 2x850 = 4400gm which is 5 lits by volume
So, 4 lits mixure is (4x4400)/5 = 3.52 kg

PareshGmat · Answer

New ratio = 3:2

For new mixture,

Brand A = 3/5 * 900 = 540

Brand B = 2/5 * 850 = 340

Total = 880 Gms for 1 Litre
So for 4 lts = 880 x 4 = 3520 Gms = 3.52 KG

Answer =C

unceldolan · Answer

Well, this is bad. I'm from Germany so I had no clue about the gm stuff there. Could anyone please explain?

Thanks!

b2bt · Answer

@geneticsgene thanks for the solution!

@unceldolan I think basically the question is about Volume (litres) and weight (grams)
We have the ratio in volume and the answer is asked in weight  
Also, its my bad coz this question is not a GMAT question. Just found interesting so I posted it. I don't know what system is used in Gmat (probably pounds,miles,etc)
1000gm = 1 kg = 2.2 (approx.) pound

Devon · Answer

Here's how I did it. My notes from reading the problem were:

1L A = 900 gm
1L B = 850 gm

We are mixing five parts (3 parts A plus 2 parts B, 5 parts total) to get 4L, so 5x = 4 ---> x = 4/5. Each "part" is 4/5 of a liter.

So if we have 3 parts A, we have 900*3*(4/5) = 2160
If we have 2 parts B, we have 850*2*(4/5) = 1360

2160 + 1360 = 3520

Solving for units gives us 3.52

So the answer is C

unceldolan · Answer

Thanks for the explanation! Didn't see that you meant grmas by "gm" :oops:

Now I get it

TeamGMATIFY · Answer

Given  : Brand A has 900 gms of ghee in 1lt and Brand B has 850 gms in 1 Lt
  Required  : Quantity of ghee in the mixture?

The new mixture is in the ratio of 3:2
Quantity of Brand A in the mixture = 3/5*900 gms = 540 gms
Quantity of Brand B in the mixture = 2/5*850 gms = 340 gms

Hence we have 880 gms for 1 lt of mixture.

Total gms for 4 lts = 880*4 = 3520 gms or 3.52 Kgs

gracie · Answer

for brand A, 1 liter/900 grams=(3/5)(4) liters/x grams
x=2106 grams
for brand B, 1 liter/850 grams=(2/5)(4) liters/y grams
y=1360 grams
x+y=3520 grams=3.52 kg

Gimmy · Answer

New mixture of 5 units is 4L where A is 3 units and B is 2 units.
A = 3/5 x 4L = 12/5L = 2 + 2/5L ; B = 2/5 x 4L = 8/5L = 1 + 3/5L
For A, 1L = 900gm so 2 + 2/5L = 1800gm + 360gm = 2160gm
For B, 1L = 850gm so 1 + 3/5L = 850gm + 510gm = 1360gm
Total = 2160gm + 1360gm = 3520gm = 3.52kg

The weights of one liter vegetable ghee packet of two brands

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GMAT Problem Solving (PS) Questions

The weights of one liter vegetable ghee packet of two brands

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