Cathy and Lucy shared some bracelets. Cathy's share was 35% of Lucy's share. She then increased her share of the bracelets by taking 25% of Lucy's share. Given that Cathy had 30 fewer bracelets than Lucy in the end, how many bracelets did the girls have altogether?
| |
Cathy |
Lucy |
Difference |
Total |
| Before |
7 u |
20 u |
|
27 u |
| Change |
+ 5 u |
- 5 u |
|
|
| After |
12 u |
15 u |
3 u |
27 u |
35% =
35100 =
720Number of bracelets that Cathy took from Lucy
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer bracelets that Cathy had than Lucy in the end = 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of bracelets that the girls had
= 27 u
= 27 x 10
= 270
Answer(s): 270
