Zara and Opal shared some nosepins. Zara's share was 45% of Opal's share. She then increased her share of the nosepins by taking 15% of Opal's share. Given that Zara had 30 fewer nosepins than Opal in the end, how many nosepins did the girls have altogether?
| |
Zara |
Opal |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 3 u |
- 3 u |
|
|
| After |
12 u |
17 u |
5 u |
29 u |
45% =
45100 =
920Number of nosepins that Zara took from Opal
= 15% x 20 u
=
15100 x 20 u
= 3 u
Number of fewer nosepins that Zara had than Opal in the end = 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of nosepins that the girls had
= 29 u
= 29 x 6
= 174
Answer(s): 174
