Abi and Julie collected buttons. Abi gave 40% of her buttons to Julie. As a result, Julie's buttons increased by 75%. If Abi had 45 buttons left, find the total number of buttons the two girls had at first.
|
Abi |
Julie |
Comparing the change in Julie's buttons |
Before |
5x3 = 15 u |
|
4x2 = 8 u |
Change |
- 2x3 = - 6 u |
+ 2x3 = + 6 u |
+ 3x2 = + 6 u |
After |
3x3 = 9 u |
|
7x2 = 14 u |
40% =
40100 =
25 75% =
75100 =
34 The number of buttons that Abi gave to Julie is repeated. Make the number of buttons that Abi gave to Julie the same. LCM of 2 and 3 is 6.
Number of buttons that Abi had in the end = 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of buttons that Abi and Julie had at first
= 15 u + 8 u
= 23 u
= 23 x 5
= 115
Answer(s): 115