Ivory and Jen shared some nosepins. Ivory's share was 45% of Jen's share. She then increased her share of the nosepins by taking 20% of Jen's share. Given that Ivory had 24 fewer nosepins than Jen in the end, how many nosepins did the girls have altogether?
| |
Ivory |
Jen |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 4 u |
- 4 u |
|
|
| After |
13 u |
16 u |
3 u |
29 u |
45% =
45100 =
920Number of nosepins that Ivory took from Jen
= 20% x 20 u
=
20100 x 20 u
= 4 u
Number of fewer nosepins that Ivory had than Jen in the end = 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total number of nosepins that the girls had
= 29 u
= 29 x 8
= 232
Answer(s): 232
