The ratio of wine and water in a drum is 3:1. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the initial quantity of wine be $3x$ and water be $x$. The total volume of the mixture is $4x$.Let $y$ be the amount of mixture taken out. The

Vedclass · Accepted Answer

$\frac{1}{3}$

Vedclass · Answer

(B) Let the initial quantity of wine be $3x$ and water be $x$. The total volume of the mixture is $4x$.Let $y$ be the amount of mixture taken out. The amount of wine removed is $\frac{3}{4}y$ and the amount of water removed is $\frac{1}{4}y$.After adding $y$ litres of water,the new amount of wine is $3x - \frac{3}{4}y$.The new amount of water is $x - \frac{1}{4}y + y = x + \frac{3}{4}y$.According to the problem,the new ratio is $1:1$,so:$3x - \frac{3}{4}y = x + \frac{3}{4}y$$2x = \frac{6}{4}y$$2x = \frac{3}{2}y$$y = \frac{4}{3}x$Since the total initial volume is $4x$,the fraction of the mixture replaced is $\frac{y}{4x} = \frac{4x/3}{4x} = \frac{1}{3}$.

The ratio of wine and water in a drum is $3:1$. What part of the mixture is taken out and replaced with an equal amount of water so that the ratio of wine and water in the mixture becomes $1:1$?

Similar Questions

The ratio of the ages of a man and his wife is $4:3$. After $4$ years,this ratio will be $9:7$. If at the time of marriage,the ratio was $5:3$,then how many years ago were they married?

In a school,there were $1554$ students and the ratio of the number of boys to girls was $4:3$. After a few days,$30$ girls joined the school but some boys left; as a result,the ratio of boys to girls became $7:6$. The number of boys who left the school is:

Salaries of Ravi and Sumit are in the ratio $2:3$. If the salary of each is increased by $₹4000$,the new ratio becomes $40:57$. What is Sumit's present salary (in $₹$)?

Two numbers are in the ratio of $4:9$. If the larger number is $35$ more than the smaller number,then the product of the numbers is

Amit,Sumit and Puneet share an amount of ₹ $660$ in the ratio of $3: 4: 5$. What is the share of Puneet (in ₹)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module