Question

. A cask contains 15 gallons of mixture of wine and
water in the ratio 2 :1. How much of the water must
be drawn off, so the ratio of wine and water in the
cask may become 4 : 1.
(a) 3.0 litres
db) 2.5 litres
(c) 5 litres
(d) None of these​

Answer 1

Answer:

d

Step-by-step explanation:

because its simple

Answer 2

Answer:

b) 2.5 gallons.

As 1 gallon = 3.785 liters

∴ 2.5 gallons = 9.4625 liters.

Step-by-step explanation:

Given:- Mixture of wine and water = 15 gallons, with ratio = 2:1.

To Find:- Amount of water drawn so that ration becomes 4:1.

Solution:-

The ratio of wine and water = 2 : 1

Total mixture = 15 gallons

Then, the share of wine is = $\frac{15 * 2}{3}$ = 10 gallons.

And, the share of water is  = $\frac{15 * 1}{3}$ = 5 gallons.

Let x gallons of water be drawn out from the mixture, then ratio becomes 10 : (5 - x)

It is given that the ratio of wine and water in the new mixture is 4 : 1.

∴ $\frac{10}{(5 - x)} = \frac{4}{1}$

⇒ 10 = 20 - 4x

⇒ 4x = 10

⇒ x = $\frac{5}{2}$ gallons

Hence, 2.5 gallons of water must be drawn out such that the ratio of mixture becomes 4 : 1.

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