Olivia and Rachel shared some bangles. Olivia's share was 45% of Rachel's share. She then increased her share of the bangles by taking 10% of Rachel's share. Given that Olivia had 21 fewer bangles than Rachel in the end, how many bangles did the girls have altogether?
| |
Olivia |
Rachel |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 2 u |
- 2 u |
|
|
| After |
11 u |
18 u |
7 u |
29 u |
45% =
45100 =
920Number of bangles that Olivia took from Rachel
= 10% x 20 u
=
10100 x 20 u
= 2 u
Number of fewer bangles that Olivia had than Rachel in the end = 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Total number of bangles that the girls had
= 29 u
= 29 x 3
= 87
Answer(s): 87
