Xandra and Usha shared some bangles. Xandra's share was 35% of Usha's share. She then increased her share of the bangles by taking 10% of Usha's share. Given that Xandra had 27 fewer bangles than Usha in the end, how many bangles did the girls have altogether?
| |
Xandra |
Usha |
Difference |
Total |
| Before |
7 u |
20 u |
|
27 u |
| Change |
+ 2 u |
- 2 u |
|
|
| After |
9 u |
18 u |
9 u |
27 u |
35% =
35100 =
720Number of bangles that Xandra took from Usha
= 10% x 20 u
=
10100 x 20 u
= 2 u
Number of fewer bangles that Xandra had than Usha in the end = 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Total number of bangles that the girls had
= 27 u
= 27 x 3
= 81
Answer(s): 81
