Sarah and Xylia shared some necklaces. Sarah's share was 45% of Xylia's share. She then increased her share of the necklaces by taking 10% of Xylia's share. Given that Sarah had 28 fewer necklaces than Xylia in the end, how many necklaces did the girls have altogether?
| |
Sarah |
Xylia |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 2 u |
- 2 u |
|
|
| After |
11 u |
18 u |
7 u |
29 u |
45% =
45100 =
920Number of necklaces that Sarah took from Xylia
= 10% x 20 u
=
10100 x 20 u
= 2 u
Number of fewer necklaces that Sarah had than Xylia in the end = 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Total number of necklaces that the girls had
= 29 u
= 29 x 4
= 116
Answer(s): 116
