Question

Three chairs and two tables cost 1850 . five chairs and three tables cost 2850. then the total cost of one chair and one table is

Answer 1

let cost of 1 chair and 1 table be x & y respectively
case 1.
3x+2y=1850 ......(1)
case 2
5x+3y =2850 .......(2)
multiply (1) by 3 and (2) by 3 then sub (2) from (1)
we get x=150
put value of x in any of the 2 equations and find y
y = 700

Answer 2

Answer:

Cost of one chair is 150 rupees and that of one table is 700 rupees.

Step-by-step explanation:

Three chairs and two tables cost 1850 . five chairs and three tables cost 2850. then the total cost of one chair and one table is?

Let the cost of one chair is x rupees

cost of one table is y Rupees

ATQ

$3x + 2y = 1850...eq1 \\ 5x + 3y = 2850...eq2$

multiply eq1 by 3 and eq2 by 3 and subtract both

$9x + 6y = 5550 \\ 10x + 6y = 5700 \\ ( - ) \: \: ( - ) \: \: ( - ) \\ - - - - - - - - \\ - x = - 150 \\ \\ x = 150$

now put the value of x in eq1

$3(150) + 2y = 1850 \\ \\ 450 + 2y = 1850 \\ \\ 2y = 1850 - 450 \\ \\ 2y = 1400 \\ \\ y = 700$

So,

Cost of one chair is 150 rupees and that of one table is 700 rupees.

Hope it helps you.