Cody and Oliver gave away the same number of cards. Cody gave away
34 of his cards while Oliver gave
49 of his cards away. Given that Cody had 11 cards less than Oliver at first, how many cards did Cody have at first?
|
Cody |
Oliver |
Before |
4x4 = 16 u |
9x3 = 27 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
After |
1x4 = 4 u |
5x3 = 15 u |
The number of cards that Cody and Oliver gave away is the same. Make the number of cards that Cody and Oliver gave away the same. LCM of 3 and 4 is 12.
Number of cards that Cody had at first = 16 u
Number of cards that Oliver had at first = 27 u
Number of cards that Cody had less than Oliver at first
= 27 u - 16 u
= 11 u
11 u = 11
1 u = 11 ÷ 11 = 1
Number of cards that Cody had at first
= 16 u
= 16 x 1
= 16
Answer(s): 16