Kathy and Jane shared some earrings. Kathy's share was 35% of Jane's share. She then increased her share of the earrings by taking 25% of Jane's share. Given that Kathy had 18 fewer earrings than Jane in the end, how many earrings did the girls have altogether?
| |
Kathy |
Jane |
Difference |
Total |
| Before |
7 u |
20 u |
|
27 u |
| Change |
+ 5 u |
- 5 u |
|
|
| After |
12 u |
15 u |
3 u |
27 u |
35% =
35100 =
720Number of earrings that Kathy took from Jane
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer earrings that Kathy had than Jane in the end = 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of earrings that the girls had
= 27 u
= 27 x 6
= 162
Answer(s): 162
