s chair and 4 tables costs 5600 while 4 chair and 3 table together cost 4340 find the cost of a chair and that of a table
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Heya !!
Let cost of a chair and a table be Rs X and Rs Y.
Cost of 5 chairs + Cost of 4 tables = 5600
5X + 4Y = 5600----------(1)
And,
Cost of 4 chairs + Cost of 3 tables = 4340
4X + 3Y = 4340 -----------(2)
From equation (1) we get,
5X + 4Y = 5600
5X = ( 5600 - 4Y )
X = ( 5600 - 4Y /5 ) -----------(3)
Putting the value of X in equation (2)
4X + 3Y = 4340
4 × ( 5600 - 4Y /5 ) + 3Y = 4340
22400 - 16y /5 + 3y = 4340
22400 - 16y + 15y = 21700
-y = 21700 - 22400
-y = -700
y = 700
Putting Y = 700 ,in (3)
X = ( 5600 - 4Y/5)
X = ( 5600 - 4 × 700/5) = 5600-2800/5
X = 560.
Cost of a chair = X = Rs 560
And,
Cost of a table = Y = 700.
Let cost of a chair and a table be Rs X and Rs Y.
Cost of 5 chairs + Cost of 4 tables = 5600
5X + 4Y = 5600----------(1)
And,
Cost of 4 chairs + Cost of 3 tables = 4340
4X + 3Y = 4340 -----------(2)
From equation (1) we get,
5X + 4Y = 5600
5X = ( 5600 - 4Y )
X = ( 5600 - 4Y /5 ) -----------(3)
Putting the value of X in equation (2)
4X + 3Y = 4340
4 × ( 5600 - 4Y /5 ) + 3Y = 4340
22400 - 16y /5 + 3y = 4340
22400 - 16y + 15y = 21700
-y = 21700 - 22400
-y = -700
y = 700
Putting Y = 700 ,in (3)
X = ( 5600 - 4Y/5)
X = ( 5600 - 4 × 700/5) = 5600-2800/5
X = 560.
Cost of a chair = X = Rs 560
And,
Cost of a table = Y = 700.
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