Gabby and Xandra shared some bangles. Gabby's share was 30% of Xandra's share. She then increased her share of the bangles by taking 20% of Xandra's share. Given that Gabby had 18 fewer bangles than Xandra in the end, how many bangles did the girls have altogether?
|
Gabby |
Xandra |
Difference |
Total |
Before |
3 u |
10 u |
|
13 u |
Change |
+ 2 u |
- 2 u |
|
|
After |
5 u |
8 u |
3 u |
13 u |
30% =
30100 =
310Number of bangles that Gabby took from Xandra
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of fewer bangles that Gabby had than Xandra in the end = 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of bangles that the girls had
= 13 u
= 13 x 6
= 78
Answer(s): 78