Question

6. There are two mixtures of alcohol and water,
the quantity of alcohol in them being 25%
and 75% of the mixture. If two gallons of
first is mixed with 3 gallons of second, what
will be the ratio of alcohol to water in the
new mixture?
(A) 3:1
(B) 11:9
(C) 9:11
(D) 2:3
(E) 1:3​

Answer 1

answer : option (B) 11 : 9

There are two mixtures of alcohol and water,

the quantity of alcohol in them being 25%

and 75% of the mixture.

first mixture ⇒ Alcohol : water = 25% : 75%

= 1 : 3

second mixture ⇒alcohol : water = 75% : 25% = 3 : 1

2 gallons of first is mixed with 3 gallons of second.

alcohol ⇒2 × 1/4 + 3 × 3/4 = 2/4 + 9/4 = 11/4

water ⇒2 × 3/4 + 3 × 1/4 = 6/4 + 3/4 = 9/4

alcohol : water = 11/4 : 9/4 = 11 : 9

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