Gem and Nicole shared some bracelets. Gem's share was 45% of Nicole's share. She then increased her share of the bracelets by taking 15% of Nicole's share. Given that Gem had 20 fewer bracelets than Nicole in the end, how many bracelets did the girls have altogether?
| |
Gem |
Nicole |
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 bracelets that Gem took from Nicole
= 15% x 20 u
=
15100 x 20 u
= 3 u
Number of fewer bracelets that Gem had than Nicole in the end = 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of bracelets that the girls had
= 29 u
= 29 x 4
= 116
Answer(s): 116
