Nicole had 96 more cards than Jean. After Jean gave away
25 of her cards, Nicole had thrice as many cards as Jean. How many cards did Jean have at first?
|
Nicole |
Jean |
Comparing Nicole and Jean at first |
96 more |
|
Before |
9 u |
5 u |
Change |
|
- 2 u |
After |
|
3 u |
Comparing Nicole and Jean in the end |
3x3 = 9 u |
1x3 = 3 u |
The number of cards that Nicole had at first and in the end remains unchanged. Make the number of cards that Nicole had the same. LCM of 9 and 3 is 9.
Number of cards that Nicole had more than Jean at first
= 9 u - 5 u
= 4 u
4 u = 96
1 u = 96 ÷ 4 = 24
Number of cards that Jean had at first
= 5 u
= 5 x 24
= 120
Answer(s): 120