Nicole and Lucy shared some bangles. Nicole's share was 45% of Lucy's share. She then increased her share of the bangles by taking 20% of Lucy's share. Given that Nicole had 18 fewer bangles than Lucy in the end, how many bangles did the girls have altogether?
|
Nicole |
Lucy |
Difference |
Total |
Before |
9 u |
20 u |
|
29 u |
Change |
+ 4 u |
- 4 u |
|
|
After |
13 u |
16 u |
3 u |
29 u |
45% =
45100 =
920Number of bangles that Nicole took from Lucy
= 20% x 20 u
=
20100 x 20 u
= 4 u
Number of fewer bangles that Nicole had than Lucy in the end = 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of bangles that the girls had
= 29 u
= 29 x 6
= 174
Answer(s): 174