Emily and Irene shared some earrings. Emily's share was 45% of Irene's share. She then increased her share of the earrings by taking 25% of Irene's share. Given that Emily had 23 fewer earrings than Irene in the end, how many earrings did the girls have altogether?
| |
Emily |
Irene |
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 Emily took from Irene
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer earrings that Emily had than Irene in the end = 1 u
1 u = 23
1 u = 23 ÷ 1 = 23
Total number of earrings that the girls had
= 29 u
= 29 x 23
= 667
Answer(s): 667
