Question

ＹＯＵＲ ＱＵＥＳＴＩＯＮ :-
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24 lítєrѕ σf α míхturє cσntαínѕ mílk αnd wαtєr ín thє rαtíσ σf 1:5. íf 6 lítєrѕ σf thє míхturє íѕ rєplαcєd вч 6 lítєrѕ σf mílk, thє rαtíσ σf mílk tσ wαtєr ín thє nєw míхturє wíll вє ?

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Answer 1

Given :-

• 24 liters of a mixture contains milk and water in the ratio of 1 : 5 .  

To Find :-

• If 6 liters of the mixture is replaced by 6 liters of milk , the ratio of milk to water in the new mixture will be ?

Solution :-

~Here, we’re given the ratio of milk and water in a mixture of 24 liters. We need to find the new ratio when 6 liters of mixture will be replaced by 6 liters of milk. If we will remove 6 liters of mixture and add 6 liters of milk the amount of mixture which is 24 liters will not change at all. We can find the ratio by adding 6 liters to amount of milk.

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According to the given ratios, Let :-  

• The amount of milk be ‘x’  

• Then amount of water will be ’5x’  

According to the Question ::

$\sf \implies x + 5x + 6 = 24\;liters$

 

$\sf \implies 6x + 6 = 24\;liters$  

$\sf \implies 6x = 24 - 6$

$\sf \implies 6x = 18$

$\sf \implies x = \dfrac{18}{6}$  

$\sf \implies x = 3$

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$\sf \leadsto x + 6 = 9$

$\sf \leadsto 5x = 15$

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Finding the new ratio :-

$\sf \implies 9 : 15$

$\sf \implies 3 : 5$

Hence,

 

• The new ratio will be 3 : 5

Answer 2

★$\huge\bf{\blue{\underline{Question:-}}}$

24 lítєrѕ σf α míхturє cσntαínѕ mílk αnd wαtєr ín thє rαtíσ σf 1:5. íf 6 lítєrѕ σf thє míхturє íѕ rєplαcєd вч 6 lítєrѕ σf mílk, thє rαtíσ σf mílk tσ wαtєr ín thє nєw míхturє wíll вє ?

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★$\huge\bf{\red{\underline{Answer:-}}}$

3 : 5

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★$\huge\bf{\green{\underline{Explanation:-}}}$

According to the given ratios, Let :-  

The amount of milk be ‘x’  

Then amount of water will be ’5x’  

According to the Question ::

$\sf \implies x + 5x + 6 = 24\;liters$

 

$\sf \implies 6x + 6 = 24\;liters$  

$\sf \implies 6x = 24 - 6$

$\sf \implies 6x = 18$

$\sf \implies x = \dfrac{18}{6}$  

$\sf \implies x = 3$

$\sf \leadsto x + 6 = 9$

$\sf \leadsto 5x = 15$

__________________

Finding the new ratio :-

$\sf \implies 9 : 15$

$\sf \implies 3 : 5$

Hence,

The new ratio will be 3 : 5

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