Emily and Esther shared some earpins. Emily's share was 30% of Esther's share. She then increased her share of the earpins by taking 20% of Esther's share. Given that Emily had 24 fewer earpins than Esther in the end, how many earpins did the girls have altogether?
| |
Emily |
Esther |
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 earpins that Emily took from Esther
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of fewer earpins that Emily had than Esther in the end = 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total number of earpins that the girls had
= 13 u
= 13 x 8
= 104
Answer(s): 104
