a man purchases a set of tables and chairs.each table costs rs70 and each chair costs rs45.if the total no. of tables and chairs is 13 and their total cost is rs760,find the number of tables and chairs.
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Solution
Answer :
Given :
Cost of a table = Rs . 70
And
Cost of a chair = Rs. 45
Let total number of tables = x
And
Total number of chairs = 13 - x
As given total number of chair and table = 13
And from second equation we get
70 ( x ) + 45 ( 13 - x ) = 760
70x + 585 - 45x = 760
25x = 760 - 585
25x = 175
x = 7
Total number of tables purchased by a man = 7
And
Total number of chairs purchased by a man = 13- 7 = 6 ( Ans )