Emily and Joelle shared some nosepins. Emily's share was 45% of Joelle's share. She then increased her share of the nosepins by taking 10% of Joelle's share. Given that Emily had 21 fewer nosepins than Joelle in the end, how many nosepins did the girls have altogether?
| |
Emily |
Joelle |
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 nosepins that Emily took from Joelle
= 10% x 20 u
=
10100 x 20 u
= 2 u
Number of fewer nosepins that Emily had than Joelle in the end = 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Total number of nosepins that the girls had
= 29 u
= 29 x 3
= 87
Answer(s): 87
