Opal and Shannon shared some bangles. Opal's share was 45% of Shannon's share. She then increased her share of the bangles by taking 20% of Shannon's share. Given that Opal had 27 fewer bangles than Shannon in the end, how many bangles did the girls have altogether?
| |
Opal |
Shannon |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 4 u |
- 4 u |
|
|
| After |
13 u |
16 u |
3 u |
29 u |
45% =
45100 =
920Number of bangles that Opal took from Shannon
= 20% x 20 u
=
20100 x 20 u
= 4 u
Number of fewer bangles that Opal had than Shannon in the end = 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Total number of bangles that the girls had
= 29 u
= 29 x 9
= 261
Answer(s): 261
