Hazel and Lucy shared some nosepins. Hazel's share was 45% of Lucy's share. She then increased her share of the nosepins by taking 25% of Lucy's share. Given that Hazel had 17 fewer nosepins than Lucy in the end, how many nosepins did the girls have altogether?
| |
Hazel |
Lucy |
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 nosepins that Hazel took from Lucy
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer nosepins that Hazel had than Lucy in the end = 1 u
1 u = 17
1 u = 17 ÷ 1 = 17
Total number of nosepins that the girls had
= 29 u
= 29 x 17
= 493
Answer(s): 493
