Gem and Yoko shared some nosepins. Gem's share was 35% of Yoko's share. She then increased her share of the nosepins by taking 25% of Yoko's share. Given that Gem had 15 fewer nosepins than Yoko in the end, how many nosepins did the girls have altogether?
|
Gem |
Yoko |
Difference |
Total |
Before |
7 u |
20 u |
|
27 u |
Change |
+ 5 u |
- 5 u |
|
|
After |
12 u |
15 u |
3 u |
27 u |
35% =
35100 =
720Number of nosepins that Gem took from Yoko
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer nosepins that Gem had than Yoko in the end = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total number of nosepins that the girls had
= 27 u
= 27 x 5
= 135
Answer(s): 135