MATH SOLVE

7 months ago

Q:
# 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?

Accepted Solution

A:

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.