Question

The ratio of milk is to water in 80leter of mixture of 7:3 the water in leter to be added make the ratio 2:1.​

Answer 1

Answer:

8 litres

Explanation:

In a mixture of 80 litre the given ratio of,

• Milk : Water = 7 : 3

Here,

The amount of milk :

→ 7/10 × 80 = 7*8 = 56 litre.

And also,

Amount of water :

→ 3/10 × 80 = 3*8 = 24 litre.

Now, let's say ‘x’ litre to be added in both quantities to make the ratio 1 : 2.

So, adding ‘x’ in milk

→ (56 + x)

And also, in the water,

→ (24 + x)

According to the question,

⇒ (56 + x) : (24 + x) = 2 : 1

⇒ (56 + x)/(24 + x) = 2/1

⇒ (56 + x) = 2(24 + x)

⇒ 56 + x = 48 + 2x

⇒ 56 - 48 = 2x - x

⇒ 8 = x

∴ The required amount is 8 litre.

Verification :

Let's add the quantity 8 litres in,

• water = 56 + 8 = 64 litres
• And also, in milk = 24 + 8 = 32 litres.

Forming in ratio,

⇒ Water : milk = 64 : 32 = 2 : 1

Hence, verified