Question

Wine and water ration 7:5and the mixture is drawn off 9 litre and add 9litre water then the ratio of wine and water 7:9 what is initial quantity of wine

Answer 1

Answer:

Initial quantity of wine = 21 litre

Step-by-step explanation:

Given:

• Wine and water are in ratio 7:5 and the mixture is drawn off 9 litre and add 9 litre water, then the ratio of wine and water 7:9.

To find:

• What is initial quantity of wine.

Solution:

Let initial quantity of wine and water be 7x and 5x in a mixture respectively.

Quantity of both = 7 + 5 = 12

In case of wine

• Quantity of wine left in mixture = 7x - 9 × 7/12
• Quantity of wine left in mixture = 7x - 63/12
• Quantity of wine left in mixture = 7x - 21/4

In case of water

• Quantity of water left in mixture = 5x - 9 × 5/12
• Quantity of water left in mixture = 5x - 45/12
• Quantity of water left in mixture = 5x - 15/4

According to the problem,

Refer the attachment!!

As we got the value of x = 3

So,

Finally,

• Initial quantity of wine = 7 × 3
• Initial quantity of wine = 21 litres

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