Question

The total cost of 3 tables and 2 chairs 1850.if table cost 75 more than chair. Find price of each

Answer 1

Let the cost of a chair be x and cost of a table be y
3y+2x=1850
y=x+75
3(x+75)+2x=1850
3x+225+2x=1850
5x=1625
x=1625/5=325
therefore the cost of a chair is rs.325
cost of a table =y=x+75=325+75=400
Therefore the cost of a table is rs.400

Answer 2

Given:

$2x+3y = 1850$

$y = x+75$

To find:

Price of the chair and the table.

Answer:

Assume that the cost of chair and table is x and y respectively.

$2x+3y = 1850 ---- (1)$

$Y = x+75 ------ (2)$

$2x+3 (x+75) = 1850$

$2x+225+3x = 1850$

$5x +225 = 1850$

$5x = 1850-225$

$5x = \frac {1625}{5}$

$x = 325$

Substitute x value in equation 2

$y = 325+75$

$y= 400$

The cost of chair and table is 325 and 400 respectively.