Gwen and Raeann shared some necklaces. Gwen's share was 45% of Raeann's share. She then increased her share of the necklaces by taking 20% of Raeann's share. Given that Gwen had 33 fewer necklaces than Raeann in the end, how many necklaces did the girls have altogether?
| |
Gwen |
Raeann |
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 necklaces that Gwen took from Raeann
= 20% x 20 u
=
20100 x 20 u
= 4 u
Number of fewer necklaces that Gwen had than Raeann in the end = 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total number of necklaces that the girls had
= 29 u
= 29 x 11
= 319
Answer(s): 319
