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

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Math Expert
Joined: 02 Sep 2009
Posts: 64158
A mixture of 24 litres contains water and milk in the ratio 3: 5. How  [#permalink]

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27 Mar 2020, 04:15
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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

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Re: A mixture of 24 litres contains water and milk in the ratio 3: 5. How  [#permalink]

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27 Mar 2020, 04:20
Now, w:m :: 9:15 L

Lt x L water be added

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

x=16 L

Bunuel wrote:
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
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Posts: 6270
Location: India
Concentration: Sustainability, Marketing
GPA: 4
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Re: A mixture of 24 litres contains water and milk in the ratio 3: 5. How  [#permalink]

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28 Mar 2020, 08:18
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Bunuel wrote:
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

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
Intern
Joined: 23 Mar 2020
Posts: 26
A mixture of 24 litres contains water and milk in the ratio 3: 5. How  [#permalink]

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28 Mar 2020, 08:37
Bunuel wrote:
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

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).
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Joined: 25 Mar 2018
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Re: A mixture of 24 litres contains water and milk in the ratio 3: 5. How  [#permalink]

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29 Mar 2020, 05:31
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
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Joined: 06 Feb 2020
Posts: 26
Re: A mixture of 24 litres contains water and milk in the ratio 3: 5. How  [#permalink]

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02 Apr 2020, 03:39
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.
Re: A mixture of 24 litres contains water and milk in the ratio 3: 5. How   [#permalink] 02 Apr 2020, 03:39