Question

The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 table is 700 rupees then find the price of 2 chairs and 2 table

Answer 1

hey I think there will be 7000 instead of 700

Answer 2

Hello friend

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As per your request that the price of 5 chairs and 3 table is 7000 Rs.

==> Let the price of each chair be Rs.x and the price of each table be Rs.y

According to the first condition

3x + 2y = 4500 ...................( i )

According to the second condition

5x + 3y = 7000 .....................( ii )

Multiply by 3 equation ( i ) and equation (ii) by 2 we get

9x + 6y = 13500 ....................( iii )

10x + 6y = 14000 ......................( iv )

Subtract equation (iii) and (iv) we get

9x + 6y = 13500
10x + 6y = 14000
--------------------------
x = 500

x = 500 taking equation (i ) we get

3x + 2y = 4500

3 * 500 + 2y = 4500

1500 + 2y = 4500

2y = 4500 - 1500

2y = 3000

y = 3000/2

y = 1500

Now,we got the value of x and y respectively.

Now,

2x = 2 x 500 = 1000

2y = 2 x 1500 = 3000

Therefore,

Price of 2 chairs is Rs. 1000

Price of 2 table is Rs .3000

: Total amount is 1000 + 3000 = 4000 Rs.

Thanks...

:)