Olivia and Cathy shared some earrings. Olivia's share was 40% of Cathy's share. She then increased her share of the earrings by taking 20% of Cathy's share. Given that Olivia had 15 fewer earrings than Cathy in the end, how many earrings did the girls have altogether?
| |
Olivia |
Cathy |
Difference |
Total |
| Before |
2 u |
5 u |
|
7 u |
| Change |
+ 1 u |
- 1 u |
|
|
| After |
3 u |
4 u |
1 u |
7 u |
40% =
40100 =
25Number of earrings that Olivia took from Cathy
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of fewer earrings that Olivia had than Cathy in the end = 1 u
1 u = 15
1 u = 15 ÷ 1 = 15
Total number of earrings that the girls had
= 7 u
= 7 x 15
= 105
Answer(s): 105
