Roshel and Kylie collected buttons. Kylie gave 60% of her buttons to Roshel. As a result, Roshel's buttons increased by 20%. If Roshel had 198 buttons left, find the total number of buttons the two girls had at first.
|
Comparing the change in Kylie's buttons |
Kylie |
Roshel |
Before |
5x1 = 5 u |
|
5x3 = 15 u |
Change |
- 3x1 = - 3 u |
- 1x3 = - 3 u |
+ 1x3 = + 3 u |
After |
2x1 = 2 u |
|
6x3 = 18 u |
60% =
60100 =
35 20% =
20100 =
15 The number of buttons that Roshel gave to Kylie is repeated. Make the number of buttons that Roshel gave to Kylie the same. LCM of 1 and 3 is 3.
Number of buttons that Roshel had in the end = 18 u
18 u = 198
1 u = 198 ÷ 18 = 11
Number of buttons that Kylie and Roshel had at first
= 5 u + 15 u
= 20 u
= 20 x 11
= 220
Answer(s): 220