Zoe and Kylie collected buttons. Zoe gave 10% of her buttons to Kylie. As a result, Kylie's buttons increased by 60%. If Zoe had 243 buttons left, find the total number of buttons the two girls had at first.
| |
Zoe |
Kylie |
Comparing the change
in Kylie's buttons |
| Before |
10x3 =
30 u |
|
5x1 =
5 u |
| Change |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
+ 3x1 =
+ 3 u |
| After |
9x3 =
27 u |
|
8x1 =
8 u |
10% =
10100 =
110 60% =
60100 =
35 The number of buttons that Zoe gave to Kylie is repeated. Make the number of buttons that Zoe gave to Kylie the same. LCM of 1 and 3 is 3.
Number of buttons that Zoe had in the end = 27 u
27 u = 243
1 u = 243 ÷ 27 = 9
Number of buttons that Zoe and Kylie had at first
= 30 u + 5 u
= 35 u
= 35 x 9
= 315
Answer(s): 315
