Xandra and Olivia shared some bangles. Xandra's share was 35% of Olivia's share. She then increased her share of the bangles by taking 15% of Olivia's share. Given that Xandra had 35 fewer bangles than Olivia in the end, how many bangles did the girls have altogether?
| |
Xandra |
Olivia |
Difference |
Total |
| Before |
7 u |
20 u |
|
27 u |
| Change |
+ 3 u |
- 3 u |
|
|
| After |
10 u |
17 u |
7 u |
27 u |
35% =
35100 =
720Number of bangles that Xandra took from Olivia
= 15% x 20 u
=
15100 x 20 u
= 3 u
Number of fewer bangles that Xandra had than Olivia in the end = 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Total number of bangles that the girls had
= 27 u
= 27 x 5
= 135
Answer(s): 135
