There are a total of 200 liters of oil in two barrels. If we transfer the same amount of oil that barrel II contains from barrel I to barrel II, then,

By Iris

There are a total of 200 liters of oil in two barrels. If we transfer the same amount of
oil that barrel II contains from barrel I to barrel II, then, we transfer the same amount of
oil that barrel I contains from barrel II back to barrel I, the two barrels will end up having
the same amount of oil. Find the amount of oil in barrel I originally.

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  1. We call the amount of the oll barrel Iand II : x and y

    According to the information , we have :

    x + y = 200 ( 1 )

    After transfer :barrel l : 2y – x

                           barrel ll : 2x-y

    2y-x = 2x-y

    x = y 

    According to (1) and (2) , we have x = 100

                                                           y = 100

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  2. We call the amount of the oil barrel I and II: x and y

    According to the information, we have:

    x + y = 200 (1)

    After transfer: barrel I: 2y-x

                           barrel II: 2x-y

    → 2y-x = 2x-y (2)

    ⇒ x=y

    According to (1) and (2), we have x=100 

                                                          y=100

    Barrel I have 100 liters of oil originally

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