Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in each bag?

Amount left in bag one = 20kg

Amount left in bag 2 = 40 kg

Step-by-step explanation:

We are told that Two bags had 50 kilograms of sugar each.

Let first bag be x and second bag be y.

Now, we are told that After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two.

Thus, amount taken from bag one is;

3a and amount taken from bag two is a.

Amount left in bag 1 is;

50 - 3a while amount left in bag 2 is 50 - a.

Since bag one had half as much sugar left as bag two, then;

50 - 3a = ½(50 - a)

50 - 3a = 25 - 0.5a

50 - 25 = 3a - 0.5a

25 = 2.5a

a = 25/2.5

a = 10

Thus;

Amount left in bag 1 = 50 - 3a = 50 - 3(10) = 50 - 30 = 20 kg.

Amount left in bag 2 = 50 - a = 50 - 10 = 40 kg

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