Betty and Hilda shared some nosepins. Betty's share was 30% of Hilda's share. She then increased her share of the nosepins by taking 20% of Hilda's share. Given that Betty had 39 fewer nosepins than Hilda in the end, how many nosepins did the girls have altogether?
| |
Betty |
Hilda |
Difference |
Total |
| Before |
3 u |
10 u |
|
13 u |
| Change |
+ 2 u |
- 2 u |
|
|
| After |
5 u |
8 u |
3 u |
13 u |
30% =
30100 =
310Number of nosepins that Betty took from Hilda
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of fewer nosepins that Betty had than Hilda in the end = 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Total number of nosepins that the girls had
= 13 u
= 13 x 13
= 169
Answer(s): 169
