Gwen and Barbara shared some earrings. Gwen's share was 45% of Barbara's share. She then increased her share of the earrings by taking 25% of Barbara's share. Given that Gwen had 21 fewer earrings than Barbara in the end, how many earrings did the girls have altogether?
| |
Gwen |
Barbara |
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 Gwen took from Barbara
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer earrings that Gwen had than Barbara in the end = 1 u
1 u = 21
1 u = 21 ÷ 1 = 21
Total number of earrings that the girls had
= 29 u
= 29 x 21
= 609
Answer(s): 609
