Cody and Oliver had the same number of cards. Cody gave away
57 of his cards while Oliver gave away
35 of his cards. Given that Cody gave away 12 cards more than Oliver, how many cards did Cody have at first?
| |
Cody's cards |
Oliver's cards |
| Before |
7x5 =
35 u |
5x7 =
35 u |
| Change |
- 5x5 =
- 25 u |
- 3x7 =
- 21 u |
| After |
2x5 =
10 u |
2x7 =
14 u |
The number of cards that Cody and Oliver each had at first is the same. Make the number of cards that Cody and Oliver each had at first the same. LCM of 7 and 5 is 35.
Number of cards that Cody gave away more than Oliver
= 25 u - 21 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
Number of cards that Cody had at first
= 35 u
= 35 x 3
= 105
Answer(s): 105
