Gem and Irene shared some bracelets. Gem's share was 30% of Irene's share. She then increased her share of the bracelets by taking 10% of Irene's share. Given that Gem had 25 fewer bracelets than Irene in the end, how many bracelets did the girls have altogether?
| |
Gem |
Irene |
Difference |
Total |
| Before |
3 u |
10 u |
|
13 u |
| Change |
+ 1 u |
- 1 u |
|
|
| After |
4 u |
9 u |
5 u |
13 u |
30% =
30100 =
310Number of bracelets that Gem took from Irene
= 10% x 10 u
=
10100 x 10 u
= 1 u
Number of fewer bracelets that Gem had than Irene in the end = 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
Total number of bracelets that the girls had
= 13 u
= 13 x 5
= 65
Answer(s): 65
