Anna had 112 more cards than Joelle. After Joelle gave away
25 of her cards, Anna had four times as many cards as Joelle. How many cards did Joelle have at first?
| |
Anna |
Joelle |
Comparing Anna
and Joelle at first |
112 more |
|
| Before |
12 u |
5 u |
| Change |
|
- 2 u |
| After |
|
3 u |
Comparing Anna
and Joelle in the end |
4x3 =
12 u |
1x3 =
3 u |
The number of cards that Anna had at first and in the end remains unchanged. Make the number of cards that Anna had the same. LCM of 12 and 4 is 12.
Number of cards that Anna had more than Joelle at first
= 12 u - 5 u
= 7 u
7 u = 112
1 u = 112 ÷ 7 = 16
Number of cards that Joelle had at first
= 5 u
= 5 x 16
= 80
Answer(s): 80
