Esther and Natalie shared some bangles. Esther's share was 45% of Natalie's share. She then increased her share of the bangles by taking 20% of Natalie's share. Given that Esther had 39 fewer bangles than Natalie in the end, how many bangles did the girls have altogether?
| |
Esther |
Natalie |
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 Esther took from Natalie
= 20% x 20 u
=
20100 x 20 u
= 4 u
Number of fewer bangles that Esther had than Natalie in the end = 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Total number of bangles that the girls had
= 29 u
= 29 x 13
= 377
Answer(s): 377
