Question

please tell me the answer of this question no 6​

Answer 1

Answer is 4000

Solution :-

Let the price of 1 chair be Rs. x

Let the price of 1 table be Rs. y

Then,

3x + 2y = 4500........ 1eq.

5x + 3y = 7000.........2eq.

By multiplying 1eq. by 3

And 2eq. by 2

(3x)×3 + (2y)×3 = 4500× 3

(5x)×2 + (3y)×2 = 7000× 2

9x + 6y = 13500

10x + 6y = 14000

By subtracting both equations

Ans will get,

-x = - 500

x = 500

By putting the value of x in 1eq.

3(500) + 2y = 4500

1500 +2y = 4500

2y = 4500 - 1500

2y = 3000

y = 3000/2

y = 1500

Value of 2 chair 2 table....

2x + 2y

2(x+y)

2(500 + 1500)

2×2000

4000 ans

Hope it will help you ❤️ ❤️ ❤️ ❤️

Answer 2

GIVEN :–

• The price of 3 chairs and 2 tables is 4500 rupees.

• The price of 5 chairs and 3 tables is 7000 rupees.

TO FIND :–

• Total price of 2 chairs and 2 tables = ?

SOLUTION :–

• Let the price of chair = x

• And the price of table = y

• According to the first condition –

$\\ \implies \bf3x + 2y = 4500$

$\\ \implies \bf2y = 4500 - 3x$

$\\ \implies \bf y =\dfrac{1}{2}(4500 - 3x) \: \: \: \: \: \: - - - eq.(1)$

• According to the second condition –

$\\ \implies \bf5x +3y =7000$

• Using eq.(1) –

$\\ \implies \bf5x +3 \times \dfrac{1}{2}(4500 - 3x) =7000$

$\\ \implies \bf5x + \dfrac{3}{2}(4500 - 3x) =7000$

$\\ \implies \bf5x + \dfrac{3}{2}(4500) -\dfrac{3}{2}(3x) =7000$

$\\ \implies \bf5x +6750-\dfrac{9x}{2}=7000$

$\\ \implies \bf5x-\dfrac{9x}{2}=7000 -6750$

$\\ \implies \bf\dfrac{10x - 9x}{2}=7000 -6750$

$\\ \implies \bf\dfrac{10x - 9x}{2}=250$

$\\ \implies \bf\dfrac{x}{2}=250$

$\\ \implies \bf x=250 \times 2$

$\\ \implies \bf x=500$

• Again Using eq.(1) –

$\\ \implies \bf y =\dfrac{1}{2}(4500 - 3 \times 500)$

$\\ \implies \bf y =\dfrac{1}{2}(4500 - 1500)$

$\\ \implies \bf y =\dfrac{1}{2}(3000)$

$\\ \implies \bf y =1500$

• Hence , The price of chair = 500

• And The price of table = 1500

• Now let's find total price of 2 chairs and 2 tables –

$\\ \implies \bf Total \: \: price = 2x + 2y$

$\\ \implies \bf Total \: \: price = 2 \times 500+ 2 \times 1500$

$\\ \implies \bf Total \: \: price = 1000+3000$

$\\ \implies \large{ \boxed{ \bf Total \: \: price = 4000}}$

• Hence , Total price of 2 chairs and 2 tables is 4,000 rupees.