Cathy and Kathy shared some bangles. Cathy's share was 40% of Kathy's share. She then increased her share of the bangles by taking 20% of Kathy's share. Given that Cathy had 27 fewer bangles than Kathy in the end, how many bangles did the girls have altogether?
| |
Cathy |
Kathy |
Difference |
Total |
| Before |
2 u |
5 u |
|
7 u |
| Change |
+ 1 u |
- 1 u |
|
|
| After |
3 u |
4 u |
1 u |
7 u |
40% =
40100 =
25Number of bangles that Cathy took from Kathy
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of fewer bangles that Cathy had than Kathy in the end = 1 u
1 u = 27
1 u = 27 ÷ 1 = 27
Total number of bangles that the girls had
= 7 u
= 7 x 27
= 189
Answer(s): 189
