Question

4 chairs and 3 tables cost rs.2100 and 5 chairs and 2 tables cost rs.1750 what is the cost of a chair and a table

Answer 1

Hey friend..!! here your answer
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let the chair equal to x
table equal to y

according to question

4 x + 3 Y = 2100 ------1
5 x + 2 Y = 1750 -------2

by solving elimination method equation 1 and 2

4 x + 3 Y = 2100 × 5
5 x + 2 Y = 1750 x 4

20 X + 15 Y = 10500
20 X + 8 y = 7000
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7y = 3500

we get ,
y = 500

put the value of Y in equation 1

4x + 3(500) = 2100
4x + 1500 = 2100
4x = 600
x = 150

so that the cost of chair is 150 rupees and cost of table is 500
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#Hope its help you dear#
☺

Answer 2

Heya user

Let the cost of one chair be x rupees and the price of one table be y rupees.
So, According to question.....

4x+3y=2100 .......(1)

And, 5x+2y=1750 .......(2)


Multiplying the eq(1) with 2 and eq(2) with 3, we get

8x+6y=4200 and 15x+6y=5250

Subtracting the above two eqns. , we get

7x=1050
x=150 rupees .........eq(3)

putting value of x in eq(1) , we get


y =1500/3
y=500 rupees

So, cost of 1 chair is 150 and cost of 1 table is 500 rupees.

Hope this will help you☺☺☺