Roshel and Rachel shared some bangles. Roshel's share was 45% of Rachel's share. She then increased her share of the bangles by taking 15% of Rachel's share. Given that Roshel had 30 fewer bangles than Rachel in the end, how many bangles did the girls have altogether?
|
Roshel |
Rachel |
Difference |
Total |
Before |
9 u |
20 u |
|
29 u |
Change |
+ 3 u |
- 3 u |
|
|
After |
12 u |
17 u |
5 u |
29 u |
45% =
45100 =
920Number of bangles that Roshel took from Rachel
= 15% x 20 u
=
15100 x 20 u
= 3 u
Number of fewer bangles that Roshel had than Rachel in the end = 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of bangles that the girls had
= 29 u
= 29 x 6
= 174
Answer(s): 174