Yen and Anna shared some nosepins. Yen's share was 45% of Anna's share. She then increased her share of the nosepins by taking 25% of Anna's share. Given that Yen had 28 fewer nosepins than Anna in the end, how many nosepins did the girls have altogether?
| |
Yen |
Anna |
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 nosepins that Yen took from Anna
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer nosepins that Yen had than Anna in the end = 1 u
1 u = 28
1 u = 28 ÷ 1 = 28
Total number of nosepins that the girls had
= 29 u
= 29 x 28
= 812
Answer(s): 812
