Gabby and Sarah shared some earrings. Gabby's share was 30% of Sarah's share. She then increased her share of the earrings by taking 20% of Sarah's share. Given that Gabby had 15 fewer earrings than Sarah in the end, how many earrings did the girls have altogether?
| |
Gabby |
Sarah |
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 earrings that Gabby took from Sarah
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of fewer earrings that Gabby had than Sarah in the end = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total number of earrings that the girls had
= 13 u
= 13 x 5
= 65
Answer(s): 65
