Question

Three chairs and two tables cost Rs. $700$ and five chairs and three tables cost Rs. $1100$. What is the total cost of $2$ chairs and $3$ tables?

Answer 1

Let the cost of one chair be $x$.

Let the cost of one table be $y$

According to the question,

$3x+2y=700$ $...........\left(1\right)$

$5x+3y=1100$ $...........\left(2\right)$

Multiply $\left(1\right)$ with $3$ and $\left(2\right)$ with $2$ and subtract

$9x+6y=2100$

$10x+6y=2200$

$\overline{-x+0=-100}$

$x=100$ substitute in $\left(1\right)$

$3\left(100\right)+2y=700$

$300+2y=700$

$2y=400$

$y=200$

So, the total cost of $2$ chairs and $3$ tables will be

$=2\times 100+3\times 200$

$=200+600=Rs.800$

Hence, this is the answer.