Wendy and Dana collected cards. Wendy gave 25% of her cards to Dana. As a result, Dana's cards increased by 60%. If Wendy had 54 cards left, find the total number of cards the two girls had at first.
| |
Wendy |
Dana |
Comparing the change
in Dana's cards |
| Before |
4x3 =
12 u |
|
5x1 =
5 u |
| Change |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
+ 3x1 =
+ 3 u |
| After |
3x3 =
9 u |
|
8x1 =
8 u |
25% =
25100 =
14 60% =
60100 =
35 The number of cards that Wendy gave to Dana is repeated. Make the number of cards that Wendy gave to Dana the same. LCM of 1 and 3 is 3.
Number of cards that Wendy had in the end = 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of cards that Wendy and Dana had at first
= 12 u + 5 u
= 17 u
= 17 x 6
= 102
Answer(s): 102
