4 chair or 4 tables cost 2100 and 5 chairs and 2 table 1750 find the cost of one chair and one table separately
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dhreeti66:
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Answer:
Cost of one chair is Rupees 150
Cost of one table is Rupees 500.
Step-by-step explanation:
Assuming:
Let the cost of one chair be x rupees.
Let the cost of one table be y rupees.
According To Question:
4x + 3y = 2100 -----------Equation 1
5x + 2y = 1750 ------------Equation 2
Solving these Equations by Elimination method:
Multiplying Equation 1 by 2 and Equation 2 by 3:
8x + 6y = 4200 -----------------Equation 3
15x + 6y = 5250 ----------------Equation 4
Subtracting Equation 3 from Equation 4:
15x + 6y = 5250
8x + 6y = 4200
7x = 1050
x = 1050 / 7 = 150
Putting x = 150 in Equation 1:
4 * 150 + 3y = 2100
3y = 2100 - 600
3y = 1500
y = 1500 / 3
y = 500
Therefore, cost of 1 chair is Rupees 150 and cost of one table is Rupees 500.
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