Elijah and Jack had the same number of stickers. Elijah gave away
45 of his stickers while Jack gave away
23 of his stickers. Given that Elijah gave away 12 stickers more than Jack, how many stickers did Elijah have at first?
|
Elijah's stickers |
Jack's stickers |
Before |
5x3 = 15 u |
3x5 = 15 u |
Change |
- 4x3 = - 12 u |
- 2x5 = - 10 u |
After |
1x3 = 3 u |
1x5 = 5 u |
The number of cards that Elijah and Jack each had at first is the same. Make the number of cards that Elijah and Jack each had at first the same. LCM of 5 and 3 is 15.
Number of stickers that Elijah gave away more than Jack
= 12 u - 10 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Number of stickers that Elijah had at first
= 15 u
= 15 x 6
= 90
Answer(s): 90