Elyse and Pamela shared some earrings. Elyse's share was 30% of Pamela's share. She then increased her share of the earrings by taking 10% of Pamela's share. Given that Elyse had 20 fewer earrings than Pamela in the end, how many earrings did the girls have altogether?
| |
Elyse |
Pamela |
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 Elyse took from Pamela
= 10% x 10 u
=
10100 x 10 u
= 1 u
Number of fewer earrings that Elyse had than Pamela in the end = 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of earrings that the girls had
= 13 u
= 13 x 4
= 52
Answer(s): 52
