David had
25 the number of cards that Elijah had at first. After Elijah gave David 12 of his cards, David had
47 the number of cards that Elijah had. How many cards did Elijah have in the end?
|
David |
Elijah |
Total |
Before |
2x11 = 22 u |
5x11 = 55 u |
7x11 = 77 u |
Change |
+ 6 u |
- 6 u |
|
After |
4x7 = 28 u |
7x7 = 49 u |
11x7 = 77 u |
The total number of cards that David and Elijah had at first and in the end remains unchanged. Make the total number of cards the same. LCM of 7 and 11 is 77.
Number of cards that Elijah gave David
= 28 u - 22 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Number of cards that Elijah had in the end
= 49 u
= 49 x 2
= 98
Answer(s): 98