Question

In a mixture of 126 kg of milk and water, milk and water are in the ratio 5:2. The quantity of milk is.​

Answer 1

GIVEN :-

• total mixture = 126 kg .
• ratio of quantity of milk and water is 5:2

TO FIND :-

• the quantity of milk.

SOLUTION :-

Let the ratio constant be x.

⇒quantity of milk = 5x

⇒quantity of water = 2x

Hence , 5x + 2x = 126

⇒7x = 126

⇒x = 126/7

⇒x = 18

Therefore,

⇒ quantity of milk = 5x = 5 × 18 = 90 kg

⇒quantity of water = 2x = 2 × 18 = 36 kg

VERIFICATION :-

⇒Total mixture = Milk + water

⇒126 kg = 90 kg + 36 kg

⇒126 kg = 126 kg

L.H.S = R.H.S

HENCE VERIFIED

Answer 2

Given :

• Mixture = 126 kg.
• Ratio is 5 : 2.

To find :

• The quantity of milk.

According to the question,

Let the ratio be 5x and 2x.

➨ 5x + 2x = 126

➨ 7x = 126

➨ x = 126 ÷ 7

.°. x = 18

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• Milk = 5x = 5 × 18 = 90 kg.
• Water = 2x = 2 × 18 = 36 kg.

_____________....

Verification :

➨ 5x + 2x = 126

➨ 5 × 18 + 2 × 18 = 126

➨ 90 + 36 = 126

➨ 126 = 126

.°. L.H.S = R.H.S

Hence, verified....