Wendy and Tammy collected buttons. Tammy gave 75% of her buttons to Wendy. As a result, Wendy's buttons increased by 25%. If Wendy had 90 buttons left, find the total number of buttons the two girls had at first.
|
Comparing the change in Tammy's buttons |
Tammy |
Wendy |
Before |
4x1 = 4 u |
|
4x3 = 12 u |
Change |
- 3x1 = - 3 u |
- 1x3 = - 3 u |
+ 1x3 = + 3 u |
After |
1x1 = 1 u |
|
5x3 = 15 u |
75% =
75100 =
34 25% =
25100 =
14 The number of buttons that Wendy gave to Tammy is repeated. Make the number of buttons that Wendy gave to Tammy the same. LCM of 1 and 3 is 3.
Number of buttons that Wendy had in the end = 15 u
15 u = 90
1 u = 90 ÷ 15 = 6
Number of buttons that Tammy and Wendy had at first
= 4 u + 12 u
= 16 u
= 16 x 6
= 96
Answer(s): 96