Gwen and Jen shared some earrings. Gwen's share was 40% of Jen's share. She then increased her share of the earrings by taking 20% of Jen's share. Given that Gwen had 39 fewer earrings than Jen in the end, how many earrings did the girls have altogether?
| |
Gwen |
Jen |
Difference |
Total |
| Before |
2 u |
5 u |
|
7 u |
| Change |
+ 1 u |
- 1 u |
|
|
| After |
3 u |
4 u |
1 u |
7 u |
40% =
40100 =
25Number of earrings that Gwen took from Jen
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of fewer earrings that Gwen had than Jen in the end = 1 u
1 u = 39
1 u = 39 ÷ 1 = 39
Total number of earrings that the girls had
= 7 u
= 7 x 39
= 273
Answer(s): 273
