Question

5 apples and 9 oranges together cost Rs 57 and 9 apples and 5 oranges together cost Rs 69. Find the cost of 3 apples and 2 oranges.

Answer 1

Answer:

Price of 3 apples = 17.9784

Price of 3 oranges = 9.12

Step-by-step explanation:

Here is the answer

Let us consider price of one apple be x and price of one orange be y

Then A/Q,

5x+9y=57   --------------------(1)

9x+5y=63   --------------------(2)

Now we will use elimination method to eliminate x from equations (1) and (2).

(1)  x 9  ⇒ 45x+81y = 513

(2) x 5 ⇒ 45x+25y = 315

Now subtracting we get

81y - 25y =513 - 315

⇒65y = 198

⇒y = 198/65

⇒y = 3.04

Putting this value in (1) we get

5x+9*3.04=57

⇒5x+27.036=57

⇒5x=57-27.036

⇒5x=29.964

⇒x=29.964/5

⇒x=5.9928

Therefore price of 3 apples = 3*5.9928 = 17.9784

Price of 3 oranges = 3*3.04 = 9.12

Hope this was helpful.

Answer 2

Answer:

Price of 3 apples = 20.268

Price of 2 oranges = 5.16

Step-by-step explanation:Here is the answer

Let us consider price of one apple be x and price of one orange be y

5x+9y=57   --------------------(1)

9x+5y=69   --------------------(2)

Now we will use elimination method to eliminate x from equations (1) and (2).

(1)  x 9  ⇒ 45x+81y = 513

(2) x 5 ⇒ 45x+25y = 345

Now subtracting we get

81y - 25y =513 - 315

⇒65y = 168

⇒y = 168/65

⇒y = 2.58

Putting this value in (1) we get

5x+9*2.58=57

⇒5x+23.22=57

⇒5x=57-23.22

⇒5x=33.78

⇒x=33.78/5

⇒x=6.756

Therefore price of 3 apples = 3*6.756 = 20.268

Price of 2 oranges = 2*2.58 = 5.16

Hope this was helpful