A mixture of 24 litres contains water and milk in the ratio 3: 5. How

Question

A mixture of 24 litres contains water and milk in the ratio 3: 5. How much water must be added to this mixture to reverse the ratio?

A. 24 litres
B. 20 litres
C. 18 litres
D. 16 litres
E. 15 litres

LeoN88 · Answer

Now, w:m :: 9:15 L

Lt x L water be added

5:3 :: (9+x):15

x=16 L

Archit3110 · Answer

given
water = 9 and milk = 15
so required ratio of water to milk ; 5:8
9+x/24+x= 5/8
solve for x = 16 liters
IMO D

Papist · Answer

Based on the ratio, we can determine that 3/8 of the mixture is water and 5/8 is milk. To determine how many liters of milk and water are in the mixture, multiply the fractions by 24. You'll find that there are 9 liters of milk and 15 liters of water. Since the question is asking us to find how many liters of water we would need to get a ratio of 5:3, you can set up an algebraic equation: 5/3 = (9 + x)/15, where x is the number of liters of water that need to be added. x = 16, so the answer is (D).

RogueConsultant · Answer

Orginal Ratio : 3W + 5M = 24 
Expected Ratio : 5W + 3M = 24 + x (here "x" being the added water)

Step 1: Calculating the original water = 3W/8*24=9W; The yields us 15M.
Step 2: How much water to add such that we achieve the expected ratio of 5W:3M
(9+X)/15=5/3 
(9+x)=5/3*15
(9+x)=25
x=25-9
x=16

Hence we need to add 16W to 24 to make the ratio 5W:3M. 
I hope you find this helpful.

Cheers,
RogueConsultant

GaurSaini · Answer

Water and milk are given in the ratio 3:5, hence quantity of mixture would be 3x + 5x = 24.

8x = 24
x= 3

Hence, water = 9 L and milk = 15 L.

'y' L of water is added in the mixture to bring the ratio W:M = 5:3.

So, 9 + y / 15 = 5 / 3
y = 16 L

Hence 16L of water is added to the mixture to bring the ratio to 5:3.

ShahadatHJ · Answer

Water 9 and Milk 15
ATQ,  \frac{9+X}{15} = \frac{5}{3} 
Solve for X (=16)
Ans. D

Quynguyen · Answer

Current amount of water: 24 x 3/8 = 9 liters
Current amount of milk = 24-9 = 15 liters
We want to add X amount of water so that the ratio of water to milk will be reversed. Currently, it's 3:5 so reversed is 5:3. Or the percentage of water in the new mixture is 5:8
From given information, we will have: 9+X = 5/8* (24+X)
Or, 9+ X = 15 + 5/8 X <=> 3/8 X =6 <=> X = 16.

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A mixture of 24 litres contains water and milk in the ratio 3: 5. How

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