Emily and Lucy shared some necklaces. Emily's share was 40% of Lucy's share. She then increased her share of the necklaces by taking 20% of Lucy's share. Given that Emily had 26 fewer necklaces than Lucy in the end, how many necklaces did the girls have altogether?
| |
Emily |
Lucy |
Difference |
Total |
| Before |
2 u |
5 u |
|
7 u |
| Change |
+ 1 u |
- 1 u |
|
|
| After |
3 u |
4 u |
1 u |
7 u |
40% =
40100 =
25Number of necklaces that Emily took from Lucy
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of fewer necklaces that Emily had than Lucy in the end = 1 u
1 u = 26
1 u = 26 ÷ 1 = 26
Total number of necklaces that the girls had
= 7 u
= 7 x 26
= 182
Answer(s): 182
