Hilda and Kathy collected buttons. Kathy gave 60% of her buttons to Hilda. As a result, Hilda's buttons increased by 20%. If Hilda had 162 buttons left, find the total number of buttons the two girls had at first.
| |
Comparing the change
in Kathy's buttons |
Kathy |
Hilda |
| 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 Hilda gave to Kathy is repeated. Make the number of buttons that Hilda gave to Kathy the same. LCM of 1 and 3 is 3.
Number of buttons that Hilda had in the end = 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Number of buttons that Kathy and Hilda had at first
= 5 u + 15 u
= 20 u
= 20 x 9
= 180
Answer(s): 180
