Math, asked by skazimi8103, 1 year ago

In one pot in a mixture of 56 litre the ratio of milk and water is 5:2How much water should be added to it so that the ratio of milk and water become 4:5

Answers

Answered by sp208
5

Answer:

24 ltr

Step-by-step explanation:

total milk in the mixture initially = 56 × 5/7 = 40 ltr

similarly total water initially = 56 × 2/7 = 16 ltr

now

let x ltrs of water is added to make the mixture in the ratio 4:5

now

a/q

m : w => 40/(16+x) = 4/5

=> 40×5 = 5(16+x)

=> 200 = 80 + 5x

=> 5x = 200-80

=> 5x = 120

=> x = 120/5 = 24 ltr (answer)

Answered by pulakmath007
2

34 Iitre water should be added to the mixture so that the ratio of milk and water become 4 : 5

Given :

In one pot in a mixture of 56 litre the ratio of milk and water is 5 : 2

To find :

The amount of water should be added to it so that the ratio of milk and water become 4 : 5

Solution :

Step 1 of 3 :

Calculate the amount of milk and water in the mixture of 56 litre

Here it is given that in one pot in a mixture of 56 litre the ratio of milk and water is 5 : 2

Amount of milk

\displaystyle \sf{  = 56 \times  \frac{5}{5 + 2}  \:  \: litre }

\displaystyle \sf{  = 56 \times  \frac{5}{7}  \:  \: litre }

\displaystyle \sf{  = 40  \:  \: litre }

Amount of water

\displaystyle \sf{  = 56 \times  \frac{2}{5 + 2}  \:  \: litre }

\displaystyle \sf{  = 56 \times  \frac{2}{7}  \:  \: litre }

\displaystyle \sf{  = 16  \:  \: litre }

Step 2 of 3 :

Form the equation to find the amount of water should be added

Let x litre water should be added to it so that the ratio of milk and water become 4 : 5

By the given condition

\displaystyle \sf{  \frac{40}{16 + x} =  \frac{4}{5}   }

Step 3 of 3 :

Calculate the amount of water should be added

\displaystyle \sf{  \frac{40}{16 + x} =  \frac{4}{5}   }

\displaystyle \sf{ \implies 4(1 6 + x) = 200}

\displaystyle \sf{ \implies 64 + 4x = 200}

\displaystyle \sf{ \implies  4x = 200 - 64}

\displaystyle \sf{ \implies  4x = 136}

\displaystyle \sf{ \implies  x =  \frac{136}{4} }

\displaystyle \sf{ \implies  x =  34 }

Hence 34 Iitre water should be added to the mixture so that the ratio of milk and water become 4 : 5

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Divide Rs 200 in the ratio 2:3

https://brainly.in/question/31946464

2. 12 Rs 80 paise : 14 Rs.40 Paise. Write the shortest form of a given ratio.

https://brainly.in/question/33396605

#SPJ3

Similar questions