Question

Two bags had 100 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?

Answer 1

Answer:

40 kg in the first bag, 80 in the second

Step-by-step explanation:

Answer 2

According to the given statement, we can get the equation:

50 - 3x = 1/2 (50-x)

where x = amount removed from bag two, 3x removed from bag one

 

Then we multiply both sides by 2 (to eliminate the ½)

 

100-6x= 50-x

Add 6x to both sides

100= 50-5x

Then subtract 50 from both sides

50=5x

Lastly, divide by 5

10=x

 

Therefore 10 kg of sugar was removed from bag 2

 

further, 3x= 30, so 30 kg of sugar was removed from bag 1.

 

50-30=20 kg remaining in bag 1.

50-10=40 kg remaining in bag 2.