Jade and Shannon collected buttons. Shannon gave 60% of her buttons to Jade. As a result, Jade's buttons increased by 25%. If Jade had 75 buttons left, find the total number of buttons the two girls had at first.
|
Comparing the change in Shannon's buttons |
Shannon |
Jade |
Before |
5x1 = 5 u |
|
4x3 = 12 u |
Change |
- 3x1 = - 3 u |
- 1x3 = - 3 u |
+ 1x3 = + 3 u |
After |
2x1 = 2 u |
|
5x3 = 15 u |
60% =
60100 =
35 25% =
25100 =
14 The number of buttons that Jade gave to Shannon is repeated. Make the number of buttons that Jade gave to Shannon the same. LCM of 1 and 3 is 3.
Number of buttons that Jade had in the end = 15 u
15 u = 75
1 u = 75 ÷ 15 = 5
Number of buttons that Shannon and Jade had at first
= 5 u + 12 u
= 17 u
= 17 x 5
= 85
Answer(s): 85