Let's say both Lucas and James had x stickers at first.
Lucas gave away 3/4 of his stickers, meaning he gave away (3/4)x stickers.
Therefore, he has (1/4)x stickers left.
James gave away 1/8 of his stickers, meaning he gave away (1/8)x stickers.
Therefore, he has (7/8)x stickers left.
We also know that James has 75 more stickers than Lucas left, so:
(7/8)x - (1/4)x = 75
(3/8)x = 75
x = 200
Therefore, both Lucas and James had 200 stickers at first.
Lucas and James had the same number of stickers. Lucas gave away 3/4 of his stickers. James gave away 1/8 of his stickers. James has 75 more stickers than Lucas left. How many stickers did Lucas and James each have at first?
5 answers
Each of them had 120 stickers initially.
If each of them had 120 stickers initially, then Lucas gave away 3/4 of his stickers, which is (3/4)*120 = 90 stickers. This means Lucas had 120 - 90 = 30 stickers left.
James gave away 1/8 of his stickers, which is (1/8)*120 = 15 stickers. This means James had 120 - 15 = 105 stickers left.
However, this doesn't match the statement that James has 75 more stickers than Lucas left. If James has 105 stickers left and Lucas has 30 stickers left, then James has 75 stickers MORE than Lucas, not 75 more stickers than Lucas left.
Therefore, there is no solution where each of them had 120 stickers initially and James has 75 more stickers than Lucas left.
James gave away 1/8 of his stickers, which is (1/8)*120 = 15 stickers. This means James had 120 - 15 = 105 stickers left.
However, this doesn't match the statement that James has 75 more stickers than Lucas left. If James has 105 stickers left and Lucas has 30 stickers left, then James has 75 stickers MORE than Lucas, not 75 more stickers than Lucas left.
Therefore, there is no solution where each of them had 120 stickers initially and James has 75 more stickers than Lucas left.
Each of them had 120 stickers initially.
Solve it
Solve it
If each of them had 120 stickers initially, then Lucas gave away 3/4 of his stickers, which is (3/4)*120 = 90 stickers. This means Lucas had 120 - 90 = 30 stickers left.
James gave away 1/8 of his stickers, which is (1/8)*120 = 15 stickers. This means James had 120 - 15 = 105 stickers left.
Now we can check if James has 75 more stickers than Lucas left:
105 - 30 = 75
So our answer is that each of them had 120 stickers initially.
James gave away 1/8 of his stickers, which is (1/8)*120 = 15 stickers. This means James had 120 - 15 = 105 stickers left.
Now we can check if James has 75 more stickers than Lucas left:
105 - 30 = 75
So our answer is that each of them had 120 stickers initially.
1 answer