Question

are
35. Two equal glasses of same type
respectively 1/3 and 1/4 full of milk. They are
then filled up with water and the contents are
mixed in a pot. What is the ratio of milk and
water in the pot?
(a) 7:17
(b) 1:3
(c) 9:21
(d)
11:23​

Answer 1

Answer is 7 : 17

Explanation:

According to your question,

There are 2 identical glasses i.e they have same shape and size.

One is filled with 1/3rd of its capacity and other one is filled 1/4 th of its capacity.

Now, remaining is filled with water in each glass.

Now,contents of both the glasses are mixed in a pot.

We need to find the ratio of milk to water in the pot in which contents of both the glasses are poured.

Let the capacity of each of the two glasses be C

Then,

According to your question,

1st glass: 1/3rd milk,remaining water

2nd glass: 1/4th milk,remaining water

So,in first glass,

(Milk/Water ratio)1=((1/3)/(1-1/3))=((1/3)/(2/3))=1/2

So,in second glass,

(Milk/Water ratio)2=((1/4)/(1-1/4))=((1/4)/(3/4))=1/3

Now these 2 glasses are mixed in a pot

(Milk/Water ratio)Pot=?

So,Let Capacity=L.C.M.(2,3) be 6 liters

Then,in first glass

Milk=2 liters

Water=4 liters

Then,in second glass

Milk=1.5 liters

Water=4.5 liters

Now these two glasses are mixed in a pot all quantities remaining constant

Total milk in pot=2 liters+ 1.5 liters= 3.5 liters

Total water in pot=4 liters+ 4.5 liters=8.5 liters

(Milk/Water)pot=3.5/8.5 or 7/17

Answer 2

Answer:

option (a) 7:17

Step-by-step explanation:

Let us assume that each glass can hold x ml liquid

GLASS 1:

amount of milk  $=\frac{1}{3} = \frac{x}{3} ml$

amount of water filled  $=1 - \frac{1}{3} =\frac{2}{3}=\frac{2x}{3}ml$

GLASS 2:

amount of milk  $=\frac{1}{4} = \frac{x}{4} ml$

amount of water filled  $=1 - \frac{1}{4} =\frac{3}{4}=\frac{3x}{4}ml$

POT:

amount of milk in pot = sum of amount of milk in each glass =

$\frac{x}{3}+\frac{x}{4} = \frac{4x+3x}{12} = \frac{7x}{12}$

amount of water in pot = sum of amount of milk in each glass =

$\frac{2x}{3}+\frac{3x}{4} = \frac{8x+9x}{12} = \frac{17x}{12}$

Ratio of milk to water =

$\frac{7x}{12}/\frac{17x}{12} = \frac{7x*12}{17x*12}=\frac{7}{17}=7:17$

therefore option (a) 7:17