A milk vendor has 2 cans of milk .The first contains 25% water and the

Question

A milk vendor has 2 cans of milk .The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the container so as to get 12 litres of milk such that the ratio of water to milk is 3:5?

A. 1 litres

B. 6 litres

C. 7 litres

D. 8 litres

D. 9 litres

Show Answer

Official Answer

B

A. 1 litres

B. 6 litres

C. 7 litres

D. 8 litres

D. 9 litres

sklevel · Accepted Answer

Actually, if you read carefully, the question asks "how much milk should he mix from EACH container". Therefore, 12 = 2x; x=6

Deepakjhamb · Answer

ans is 6 litres ,since resultant mix % of water comes out as 37.5 % which is midway between container 1 and container 2 milk mixture . so the 2 mix are mixed in equal proportions . so out of 12 lit mixture - 6 of each container 1 and 2

ans is b

ans is b

bajpaispandy · Answer

Can someone give an explanation for this question?

avirupm97 · Answer

Let x and (12-x) litres of milk be mixed from the first and second container respectively
Amount of milk in x litres of the the first container =  3x/4 
Amount of water in x litres of the the first container =  x/4 
Amount of milk in (12-x) litres of the the second container =  \frac{1}{2}*(12-x) 
Amount of water in (12-x) litres of the the second container =  \frac{1}{2}*(12-x)

Ratio of water to milk =  \frac{x}{4}  +  \frac{1}{2}*(12-x)  :  \frac{3x}{4}  +  \frac{1}{2}*(12-x)  = 3 : 5

Solving this equation, we get x = 6
Hence 6 and 6 litres of milk should mixed from the first and second container respectively

Option B.

Tinytrotter · Answer

A simpler method, at least as per me.

We want 12 liters of milk where ratio of milk is to water is 3:5 i.e. milk will constitute 37.5% (3/8) of the total mixture.

Notice how 37.5% sits bang at the center of the milk content of the 2 containers - 25 & 50. Therefore, to get to 37.5% we will need to mix from both containers in equal proportion.

Now since we need 12 ltrs total mixture, 6 from each is the answer (Option B)

A milk vendor has 2 cans of milk .The first contains 25% water and the

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A milk vendor has 2 cans of milk .The first contains 25% water and the

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