George and Eric gave away the same number of cards. George gave away
35 of his cards while Eric gave
59 of his cards away. Given that George had 18 cards less than Eric at first, how many cards did George have at first?
| |
George |
Eric |
| 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 George and Eric gave away is the same. Make the number of cards that George and Eric gave away the same. LCM of 3 and 5 is 15.
Number of cards that George had at first = 25 u
Number of cards that Eric had at first = 27 u
Number of cards that George had less than Eric at first
= 27 u - 25 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of cards that George had at first
= 25 u
= 25 x 9
= 225
Answer(s): 225
