Emma and Shannon shared some earpins. Emma's share was 45% of Shannon's share. She then increased her share of the earpins by taking 25% of Shannon's share. Given that Emma had 28 fewer earpins than Shannon in the end, how many earpins did the girls have altogether?
| |
Emma |
Shannon |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 5 u |
- 5 u |
|
|
| After |
14 u |
15 u |
1 u |
29 u |
45% =
45100 =
920Number of earpins that Emma took from Shannon
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer earpins that Emma had than Shannon in the end = 1 u
1 u = 28
1 u = 28 ÷ 1 = 28
Total number of earpins that the girls had
= 29 u
= 29 x 28
= 812
Answer(s): 812
