Elijah and Vaidev gave away the same number of cards. Elijah gave away
35 of his cards while Vaidev gave
59 of his cards away. Given that Elijah had 16 cards less than Vaidev at first, how many cards did Elijah have at first?
|
Elijah |
Vaidev |
Before |
5x5 = 25 u |
9x3 = 27 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
After |
2x5 = 10 u |
4x3 = 12 u |
The number of cards that Elijah and Vaidev gave away is the same. Make the number of cards that Elijah and Vaidev gave away the same. LCM of 3 and 5 is 15.
Number of cards that Elijah had at first = 25 u
Number of cards that Vaidev had at first = 27 u
Number of cards that Elijah had less than Vaidev at first
= 27 u - 25 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of cards that Elijah had at first
= 25 u
= 25 x 8
= 200
Answer(s): 200