Marion had 24 more cards than Anna. After Anna gave away
25 of her cards, Marion had thrice as many cards as Anna. How many cards did Anna have at first?
| |
Marion |
Anna |
Comparing Marion and
Anna at first |
24 more |
|
| Before |
9 u |
5 u |
| Change |
|
- 2 u |
| After |
9 u |
3 u |
Comparing Marion and
Anna in the end |
3x3 =
9 u |
1x3 =
3 u |
Number of cards that Anna had in the end is repeated. Make the number of cards that Anna had in the end the same. LCM of 1 and 3 is 3.
Number of cards that Marion had at first = 9 u
Number of cards that Marion had more than Anna at first
= 9 u - 5 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Number of cards that Anna had at first
= 5 u
= 5 x 6
= 30
Answer(s): 30
