In a bag, there are 20 kg of fruits. If 7 1/6 kg of these fruits be oranges and 8 2/3 kg of these are apples and rest are grapes.

In a bag, there are 20 kg of fruits. If 7 1/6 kg of these fruits be oranges and 8 2/3 kg of these are apples and rest are grapes. Find the mass of the grapes in the bag.​

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  1. Let the quantity of grapes is ‘x’ kg.

    So, according to the question.

    x/1 Kg + 43/6 kg + 26/3 kg = 20 kg

    Taking L.C.M. of the denominators and then solving it, we get.

    (6x + 43 + 52)/6 = 20

    6x + 95 = 20*6

    6x = 120 – 95

    6x = 25

    x = 25/6 Kg

    So, the grapes are 25/6 kilograms.

    Or, 4.166 kg

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