Victoria and Gem shared some bracelets. Victoria's share was 45% of Gem's share. She then increased her share of the bracelets by taking 25% of Gem's share. Given that Victoria had 16 fewer bracelets than Gem in the end, how many bracelets did the girls have altogether?
| |
Victoria |
Gem |
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 bracelets that Victoria took from Gem
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer bracelets that Victoria had than Gem in the end = 1 u
1 u = 16
1 u = 16 ÷ 1 = 16
Total number of bracelets that the girls had
= 29 u
= 29 x 16
= 464
Answer(s): 464
