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Aarush bought $2$ pencils and $3$ chocolates for ₹ $11$ and Tanish bought $1$ pencil and $2$ chocolates for ₹ $7$ from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of $1$ pencil and $1$ chocolate, graphically.
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Let the cost of $1$ pencil be $x$
and the cost of $1$ chocolate be $y$
$2x + 3y = 11$ (1 Mark)
$x + 2y = 7$ (1 Mark)
for correct graph of equation $2x + 3y = 11$ (1 Mark)
for correct graph of equation $x + 2y = 7$ (1 Mark)
$x=1, x=3$ (1/2+1/2 Mark)
$\therefore$ Cost of $1$ pencil = ₹ $1$ and Cost of $1$ chocolate = ₹ $3$
and the cost of $1$ chocolate be $y$
$2x + 3y = 11$ (1 Mark)
$x + 2y = 7$ (1 Mark)
for correct graph of equation $2x + 3y = 11$ (1 Mark)
for correct graph of equation $x + 2y = 7$ (1 Mark)
$x=1, x=3$ (1/2+1/2 Mark)
$\therefore$ Cost of $1$ pencil = ₹ $1$ and Cost of $1$ chocolate = ₹ $3$