Cathy and Elyse collected cards. Cathy gave 25% of her cards to Elyse. As a result, Elyse's cards increased by 75%. If Cathy had 108 cards left, find the total number of cards the two girls had at first.
| |
Cathy |
Elyse |
Comparing the change
in Elyse's cards |
| Before |
4x3 =
12 u |
|
4x1 =
4 u |
| Change |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
+ 3x1 =
+ 3 u |
| After |
3x3 =
9 u |
|
7x1 =
7 u |
25% =
25100 =
14 75% =
75100 =
34 The number of cards that Cathy gave to Elyse is repeated. Make the number of cards that Cathy gave to Elyse the same. LCM of 1 and 3 is 3.
Number of cards that Cathy had in the end = 9 u
9 u = 108
1 u = 108 ÷ 9 = 12
Number of cards that Cathy and Elyse had at first
= 12 u + 4 u
= 16 u
= 16 x 12
= 192
Answer(s): 192
