Question

If 2 chairs and 5 tables cost the same and the price of 10 chairs and
10 tables is 7000. Then what is the price of 5 chairs and 5 tables?
(a) *2600
(b) 2400
(c) 2700
(d) 2000​

Answer 1

Answer:

The cost of 5 chairs and 5 tables is 3500

Step-by-step explanation:

Let x and y be the cost of one chair and one table respectively.

As per given data,

$2x=5y$..................(1)

$10x+10y=7000$........(2)

Now,

$5(2x)+10y=7000$

$5(5y)+10y=7000$

$25y+10y=7000$

$35y=7000$

$y=\frac{7000}{35}$

$y=200$

put y=200 in (1) we get

$2x=5(200)$

$2x=1000$

$x=\frac{1000}{2}$

$x=500$

$\implies\:5x+5y=5(500)+5(200)$

$\implies\:5x+5y=2500+1000$

$\implies\:5x+5y=3500$