Gwen and Zara shared some bracelets. Gwen's share was 45% of Zara's share. She then increased her share of the bracelets by taking 20% of Zara's share. Given that Gwen had 15 fewer bracelets than Zara in the end, how many bracelets did the girls have altogether?
| |
Gwen |
Zara |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 4 u |
- 4 u |
|
|
| After |
13 u |
16 u |
3 u |
29 u |
45% =
45100 =
920Number of bracelets that Gwen took from Zara
= 20% x 20 u
=
20100 x 20 u
= 4 u
Number of fewer bracelets that Gwen had than Zara in the end = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total number of bracelets that the girls had
= 29 u
= 29 x 5
= 145
Answer(s): 145
