Question

In a Mixture the ratio of milk and water is 8:7.If 11 litres of water is mixed then the ratio becomes 8:9.find the amount of milk in the initial mixture.

Answer 1

Given in the Question: We are provided that In a mixture, the ratio of milk and water is 8:7 respectively.

Need to Calculate:We are said to find the amount of milk in the initial mixture.

$\:\:\:\:$___________________

✰Let's say that,The ratio of milk and water is 8x and 9x respectively.

Therefore,

• We are provided that 11 litres of water is added then the ratio becomes 8:9 respectively.

$\: \: \: \sf \implies \: \frac{8x}{7x + 11} = \frac{8}{9} \\ \\ \: \: \: \sf \implies \: 72x = 56x + 88 \\ \\ \: \: \: \sf \implies \: 16x = 88 \\ \\ \: \: \: \sf \implies \: x = \cancel\frac{16}{8} \\ \\ \: \: \: \sf \therefore \: x = 2$

• Hence,The value of x is 2 and we are said in the Question that to find the amount of milk by substituting the value.So let's find!

Hence,

• The amount of Milk = 8 × $\sf\dfrac{88}{16}$ = 44 litres

$\therefore$Hence,the amount of milk is 44 litres respectively.

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Answer 2

Step-by-step explanation:

Given in the Question: We are provided that In a mixture, the ratio of milk and water is 8:7 respectively.

Need to Calculate:We are said to find the amount of milk in the initial mixture.

\:\:\:\: ___________________

✰Let's say that,The ratio of milk and water is 8x and 9x respectively.

Therefore,

We are provided that 11 litres of water is added then the ratio becomes 8:9 respectively.

\begin{gathered} \: \: \: \sf \implies \: \frac{8x}{7x + 11} = \frac{8}{9} \\ \\ \: \: \: \sf \implies \: 72x = 56x + 88 \\ \\ \: \: \: \sf \implies \: 16x = 88 \\ \\ \: \: \: \sf \implies \: x = \cancel\frac{16}{8} \\ \\ \: \: \: \sf \therefore \: x = 2\end{gathered}

⟹

7x+11

8x

=

9

8

⟹72x=56x+88

⟹16x=88

⟹x=

8

16

∴x=2

Hence,The value of x is 2 and we are said in the Question that to find the amount of milk by substituting the value.So let's find!

Hence,

The amount of Milk = 8 × \sf\dfrac{88}{16}

16

88

= 44 litres

\therefore∴ Hence,the amount of milk is 44 litres respectively.

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