Raeann and Wendy collected buttons. Wendy gave 80% of her buttons to Raeann. As a result, Raeann's buttons increased by 40%. If Raeann had 168 buttons left, find the total number of buttons the two girls had at first.
| |
Comparing the change
in Wendy's buttons |
Wendy |
Raeann |
| Before |
5x1 =
5 u |
|
5x2 =
10 u |
| Change |
- 4x1 =
- 4 u |
- 2x2 =
- 4 u |
+ 2x2 =
+ 4 u |
| After |
1x1 =
1 u |
|
7x2 =
14 u |
80% =
80100 =
45 40% =
40100 =
25 The number of buttons that Raeann gave to Wendy is repeated. Make the number of buttons that Raeann gave to Wendy the same. LCM of 2 and 4 is 4.
Number of buttons that Raeann had in the end = 14 u
14 u = 168
1 u = 168 ÷ 14 = 12
Number of buttons that Wendy and Raeann had at first
= 5 u + 10 u
= 15 u
= 15 x 12
= 180
Answer(s): 180
