Question

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

Answer 1

Let the cost of a bat be Rs x.

And, cost of a ball = Rs y

According to the question, the algebraic representation is

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

For ,

The solution table is

x	300	100	− 100
y	500	600	700

For $x+3y=1300$,

$x=1300-3y$

The solution table is

x	1000	700	400
y	100	200	300

The graphical representation is as follows.