Question

The price of three tables and five chairs in rupees 7050 but a table cost rupees 150 more than a chair. Find the price of each.

Answer 1

Answer:

Price of chair = Rs. 825 and Price of Table = Rs. 975.

Step-by-step explanation:

Let  x and y be cost of each table and chair.

price of three tables and five chairs in rupees 7050

=> 3x + 5y = 7050. --------------> Equation 1

table cost rupees 150 more than a chair.

=> x = y + 150 => x - y = 150. -----------------> Equation 2.

Solve equation 1 and equation 2.

multiply equation 2 by 5 and add it to equation 1.

3x + 5y = 7050

5x - 5y = 750

--------------------

8x = 7800  => x = Rs. 975.00

substitute value of x in equation 2

x - y = 150

=> y = x - 150 = 975 - 150 = Rs.825