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