Yen and Lucy shared some nosepins. Yen's share was 30% of Lucy's share. She then increased her share of the nosepins by taking 10% of Lucy's share. Given that Yen had 30 fewer nosepins than Lucy in the end, how many nosepins did the girls have altogether?
| |
Yen |
Lucy |
Difference |
Total |
| Before |
3 u |
10 u |
|
13 u |
| Change |
+ 1 u |
- 1 u |
|
|
| After |
4 u |
9 u |
5 u |
13 u |
30% =
30100 =
310Number of nosepins that Yen took from Lucy
= 10% x 10 u
=
10100 x 10 u
= 1 u
Number of fewer nosepins that Yen had than Lucy in the end = 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of nosepins that the girls had
= 13 u
= 13 x 6
= 78
Answer(s): 78
