. 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
Answers
Answered by
0
Answer:
d
Step-by-step explanation:
because its simple
Answered by
1
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 = = 10 gallons.
And, the share of water is = = 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.
∴
⇒ 10 = 20 - 4x
⇒ 4x = 10
⇒ x = gallons
Hence, 2.5 gallons of water must be drawn out such that the ratio of mixture becomes 4 : 1.
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