Esther and Gwen shared some earpins. Esther's share was 45% of Gwen's share. She then increased her share of the earpins by taking 10% of Gwen's share. Given that Esther had 35 fewer earpins than Gwen in the end, how many earpins did the girls have altogether?
| |
Esther |
Gwen |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 2 u |
- 2 u |
|
|
| After |
11 u |
18 u |
7 u |
29 u |
45% =
45100 =
920Number of earpins that Esther took from Gwen
= 10% x 20 u
=
10100 x 20 u
= 2 u
Number of fewer earpins that Esther had than Gwen in the end = 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Total number of earpins that the girls had
= 29 u
= 29 x 5
= 145
Answer(s): 145
