Simon and Rael gave away the same number of cards. Simon gave away
35 of his cards while Rael gave
59 of his cards away. Given that Simon had 16 cards less than Rael at first, how many cards did Simon have at first?
|
Simon |
Rael |
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 Simon and Rael gave away is the same. Make the number of cards that Simon and Rael gave away the same. LCM of 3 and 5 is 15.
Number of cards that Simon had at first = 25 u
Number of cards that Rael had at first = 27 u
Number of cards that Simon had less than Rael at first
= 27 u - 25 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of cards that Simon had at first
= 25 u
= 25 x 8
= 200
Answer(s): 200