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 1 table is x ∴ cost of 3 table is 3x 
Let the cost of 1 chair  is y ∴ cost of  2 chairs is 2y 
According to the question total cost of 3 tables and 2 chairs is 1850 .
∴  3x+2y=1850 ________(1)
and x=75+y  (_______(2)  (Since in question it is given that cost of table is 75 more than chair )
Solving equation (1) and (2) simultaneously 
3x+2y=1850  __(1)
x-y=75 _(2)
Multiplying equation (2) by 2 
we get 2x-2y=150  _(3) 
Adding (1) and (3) 
we get 5x=2000
∴x=400 therefore cost of  one table  is Rs 400
substituting the value of x in (2) we get 400-y=75 
∴y=400-75= 325 
therefore cost 1 chair is Rs 325 

Answer 2

let the chair cost be x
table cost = x+75

a/q , 2×x+3×x+75=1850
2x+3x+225=1850
5x=1850-225
5x=1625
x=325

chair cost=325
table cost=325+75=400
I hope it help