4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950. Find the cost of 2 chairs and 1 table.
Answers
Given : 4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950.
Solution:
Let the cost of 1 table is Rs. x and cost of 1 chair is Rs. y.
4x + 3y = 2250 ………... (1)
3x + 4y = 1950 ………... (2)
On Multiplying eq (1) with 3 and eq (2) with 4 we get :
12x + 9y = 6750…………. (3)
12x + 16y = 7800 ……….(4)
Now on subtracting eq (4) from (3) we get :
12x + 9y = 6750
12x + 16y = 7800
(-) (-) (-)
--------------------
-7y = - 1050
y = 1050/7
y = 150
On putting y = 150 in eq (2) we get :
3x + 4y = 1950
3x + 4(150) = 1950
3x + 600 = 1950
3x = 1950 - 600
3x = 1350
x = 1350/3
x = 450
∴ cost of 2 chairs and 1 table :
2y + x = 2 × 150 + 450
= 300 + 450
= ₹ 750
Hence, the.cost of 2 chairs and 1 table is ₹ 750 .
Hope this answer will help you…
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Answer:
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