Question

The coach of a cricket team buys $3$ bats and 6 balls for $₹3900$. Later, she buys another bat and $3$ more balls of the same kind for $₹1300$. Represent this situation algebraically and geometrically.

Answer 1

Step-1 Linear representation of condition:

Let us assume

The cost of a bat be $₹x$

The cost of a ball be $₹y$

According to the given condition, the algebraic representation is

$$\begin{gathered} 3x+6y=3900 \\ x+3y=1300 \end{gathered}$$

For,

$$\begin{gathered} 3x+6y=3900 \\ x=\frac{3900-6y}{3} \end{gathered}$$

The solution table is

$x$	$300$	$100$	$700$
$y$	$500$	$600$	$300$

For, $x+3y=1300$

Or $x=1300-3y$

The solution table is

$x$	$400$	$100$	$700$
$y$	$300$	$400$	$200$

The graphical representation is

Step-2 Geometrical representation: