Question

The price of $3$ chairs and $2$ tables is $4500$ rupees and price of $5$ chairs and $3$ tables is $7000$ rupees, then find the price of $2$ chairs and $2$ tables.

Answer 1

Let the price of $1$ chair be Rs $x$

Let the price of $1$ table be Rs $y$

Then -

$3x+2y=4500$ ____ $\left(1\right)\times 3$

$5x+3y=7000$ ______$\left(2\right)\times 2$

$9x+6y=13500$

$10x+6y=14000$

$-$ $-$ $-$

$\overline{-x=-500}$

$x=500$

$3\left(500\right)+2y=4500$

$2y=4500-1500$

$2y=3000$

$y=1500$

$\therefore$ Price of $2$ chairs and $2$ tables $=2x+2y$

$=2(x+y)$

$=2(500+1500)$

$=2\times 2000$

$=$ Rs. $4000$