Question

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.​

Answer 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