Question

If Victor were to put apples in bags so that there were 2 kg in each, then he would use 9 more bags than if he were to place 3 kg of apples in each bag. How many kg of apples were there?

Answer 1

If Victor were to put apples in bags so that there were 2 kg in each, then he would use 9 more bags than if he were to place 3 kg of apples in each bag. How many kg of apples were there?

3x kgs
2 (x + 9) = (2x + 18) kgs
2x + 18 = 3x

3x:
= 3 x 18
= 54 kg

Answer 2

let the number of bags that he would have been used to put 3 kg of apples be x. Thus the number of bags that would be used to put 2kgs will therefore be (x+9), hence the total number of kgs the bags will hold will be given by:
3*x=3x kgs
2(x+9)=(2x+18) kgs
since the total weights are the same then:
2x+18=3x
hence
18=3x-2x
18=x
thus the number of bags required to put 3 kgs of apples will be 18. Thus the total Kgs of apples was:
3x
=3*18
=54 kgs