Jen and Lynn shared some earrings. Jen's share was 30% of Lynn's share. She then increased her share of the earrings by taking 10% of Lynn's share. Given that Jen had 30 fewer earrings than Lynn in the end, how many earrings did the girls have altogether?
| |
Jen |
Lynn |
Difference |
Total |
| Before |
3 u |
10 u |
|
13 u |
| Change |
+ 1 u |
- 1 u |
|
|
| After |
4 u |
9 u |
5 u |
13 u |
30% =
30100 =
310Number of earrings that Jen took from Lynn
= 10% x 10 u
=
10100 x 10 u
= 1 u
Number of fewer earrings that Jen had than Lynn in the end = 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of earrings that the girls had
= 13 u
= 13 x 6
= 78
Answer(s): 78
