Question

the cost of 2 tables and 5 chairs is Rs 2300.if a table costs Rs 30 more than a chair. find the price of each.

Answer 1

Let us say the price of a table is $x$ and a price of a chair $y$. Using this terminology we can say that the cost of 2 chairs and 5 tables is $2x+5y=2300$. We have a second equation though, $x=y+30$ from a table being 30 more than the price of a chair. Using this we can solve the system of equations. I think substitution is the quickest way to do this. Plug x from our second equation into the first equation.

$2(y + 30) + 5y = 2300$

This will simplify to the price of a chair is Rs 320. And add Rs 30 to that and we can find that the price of a table is Rs 350.

It is always good to check. So go ahead and check $(2*350)+(5*320)$ to see that the first equation works (we know the second equation works just by eyeballing. And it looks like the cost is Rs 2300! Hooray!