Question

there are two containrs C1 and C2 filled with olive oil with different prices and their volumes are 128 liters and 192 liters.respectively .equal quantities are drawn from both C1 and C2 in such a manner that the oil drawn from C1 and C2 in such a manner that the oil drawn from C1 is poured into C2 and the oil drawn from C2 is poured into C1.The Price per litre becomes equal in both C1 and C2 .how much oil is drawn from each of C1 and C2

Answer 1

Step-by-step explanation

Let the amount of oil drawn ----> "x"

Let the price of oil in C1 ----> A

Let the price of oil in C2 -----> B

Now, cost per litre of oil in container C1....

----> (128 - X) A + (X)B / 128  ____(1)

Similarly, cost per litre  in container C2...

----> (192 - X)B + (X)A / 192   _____(2)

Equating (1) & (2)

(128 - X) A + (X)B / 128 =  (192 - X)B + (X)A / 192

{(128 - X) A + (X)B} 192 = { (192 - X)B + (X)A } 128    -( Divide by 64)

{(128 - X) A + (X)B} 3  = { (192 - X)B + (X)A } 2

384A + 3X ( B- A) = 384B + 2X( A-B)

384 ( A - B) = 3X ( A-B) + 2X ( A - B )

384 = 3X + 2X

5X = 384

Therefore, X = 78.6 litres