Tiffany and Olivia shared some earrings. Tiffany's share was 45% of Olivia's share. She then increased her share of the earrings by taking 25% of Olivia's share. Given that Tiffany had 20 fewer earrings than Olivia in the end, how many earrings did the girls have altogether?
| |
Tiffany |
Olivia |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 5 u |
- 5 u |
|
|
| After |
14 u |
15 u |
1 u |
29 u |
45% =
45100 =
920Number of earrings that Tiffany took from Olivia
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer earrings that Tiffany had than Olivia in the end = 1 u
1 u = 20
1 u = 20 ÷ 1 = 20
Total number of earrings that the girls had
= 29 u
= 29 x 20
= 580
Answer(s): 580
