Xuan and Cathy shared some earrings. Xuan's share was 30% of Cathy's share. She then increased her share of the earrings by taking 20% of Cathy's share. Given that Xuan had 15 fewer earrings than Cathy in the end, how many earrings did the girls have altogether?
| |
Xuan |
Cathy |
Difference |
Total |
| Before |
3 u |
10 u |
|
13 u |
| Change |
+ 2 u |
- 2 u |
|
|
| After |
5 u |
8 u |
3 u |
13 u |
30% =
30100 =
310Number of earrings that Xuan took from Cathy
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of fewer earrings that Xuan had than Cathy in the end = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total number of earrings that the girls had
= 13 u
= 13 x 5
= 65
Answer(s): 65
