Marion and Xylia shared some necklaces. Marion's share was 45% of Xylia's share. She then increased her share of the necklaces by taking 25% of Xylia's share. Given that Marion had 20 fewer necklaces than Xylia in the end, how many necklaces did the girls have altogether?
| |
Marion |
Xylia |
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 necklaces that Marion took from Xylia
= 25% x 20 u
=
25100 x 20 u
= 5 u
Number of fewer necklaces that Marion had than Xylia in the end = 1 u
1 u = 20
1 u = 20 ÷ 1 = 20
Total number of necklaces that the girls had
= 29 u
= 29 x 20
= 580
Answer(s): 580
