Question

A man purchased some ta a man purchase some tables at Rs 70 each and and some chairs at 45 age if total pieces of furniture purchased are 13 and their total cost is 760 find how many tables and how many years did he buy

Answer 1

7 tables and 6 chairs
(please ignore the shabby work.)
(p.s. x=number of tables and y=number of chairs...and the equations are formed according to given conditions.)

Answer 2

Let number of tables a man purchased = X
number of chairs he purchased = Y
Total items = 13
Therefore, X + Y = 13 - - - - - - - (1)
Rate of table = Rs 70
Rate of chair = Rs 45
Total expense = Rs 760
Therefore, 70X + 45Y = 760
14X + 9Y = 152 -----(2)
Equate (1) & (2) by multiply (1) by 9and subtract
9X + 9Y = 117
14X + 9Y = 152
-___-____-___
- 5X = - 35
X = 35 / 5
X = 7 number of tables.
Therefore, number of chairs = 13 - 7 = 6 chairs