Question

A milk vendor mixes water with milk in the ratio of $1:3.$ Obtain the equation that satisfies the above condition.

• A. $3y-x=0$
  where, $x$ and $y$ are the quantity of water and milk, respectively.
• B. $3y-x=0$
  where, $y$ and $x$ are the quantity of water and milk, respectively.
• C. $y-3x=0$
  where, $y$ and $x$ are the quantity of water and milk, respectively.

Answer 1

The correct option is B $3y-x=0$

where, $y$ and $x$ are the quantity of water and milk, respectively.
Let the quantity of milk is represented by $x\text{L},$ and the quantity of water by $y\text{L}.$

It is given that $\text{Quantity of water}:\text{Quantity of milk}=1:3$
$\Rightarrow y:x=1:3$
$\Rightarrow \frac{y}{x}=\frac{1}{3}$
(by cross-multiplying)
$\Rightarrow 3y=x$
$\Rightarrow 3y-x=0$

$\therefore$ The required equation is $3y-x=0$