Usha and Emma shared some necklaces. Usha's share was 45% of Emma's share. She then increased her share of the necklaces by taking 15% of Emma's share. Given that Usha had 15 fewer necklaces than Emma in the end, how many necklaces did the girls have altogether?
| |
Usha |
Emma |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 3 u |
- 3 u |
|
|
| After |
12 u |
17 u |
5 u |
29 u |
45% =
45100 =
920Number of necklaces that Usha took from Emma
= 15% x 20 u
=
15100 x 20 u
= 3 u
Number of fewer necklaces that Usha had than Emma in the end = 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of necklaces that the girls had
= 29 u
= 29 x 3
= 87
Answer(s): 87
