SOLUTION: If 3 chairs and 1 table together cost Rs 900.00 and 5 chairs and 3 tables together cost Rs 2100.00 then how many rupees is the total cost of 4 chairs and 1 table ?

Algebra ->  Equations -> SOLUTION: If 3 chairs and 1 table together cost Rs 900.00 and 5 chairs and 3 tables together cost Rs 2100.00 then how many rupees is the total cost of 4 chairs and 1 table ?      Log On


   

Question 1039506: If 3 chairs and 1 table together cost Rs 900.00 and 5 chairs and 3 tables together cost Rs 2100.00 then how many rupees is the total cost of 4 chairs and 1 table ?
Answer by chen.aavaz(62) About Me  (Show Source):
You can put this solution on YOUR website!
Let's put
chairs: c
tables: t
3%2Ac%2B1%2At=900
so
t=900-3%2Ac
5%2Ac%2B3%2At=2100
By substituting t from the above equation, we get:
5%2Ac%2B3%2A%28900-3%2Ac%29=2100
5%2Ac%2B2700-9%2Ac=2100
2700-2100=9%2Ac-5%2Ac
600=4%2Ac
c=150
So
t=900-3%2A150=450
4%2Ac%2Bt=4%2A150%2B450=1050