Joelle and Shiyun collected cards. Joelle gave 25% of her cards to Shiyun. As a result, Shiyun's cards increased by 75%. If Joelle had 72 cards left, find the total number of cards the two girls had at first.
|
Joelle |
Shiyun |
Comparing the change in Shiyun'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 Joelle gave to Shiyun is repeated. Make the number of cards that Joelle gave to Shiyun the same. LCM of 1 and 3 is 3.
Number of cards that Joelle had in the end = 9 u
9 u = 72
1 u = 72 ÷ 9 = 8
Number of cards that Joelle and Shiyun had at first
= 12 u + 4 u
= 16 u
= 16 x 8
= 128
Answer(s): 128