Winnie had 16 more beads than Dana. After Dana gave away
14 of her beads, Winnie had twice as many beads as Dana. How many beads did Dana have at first?
| |
Winnie |
Dana |
Comparing Winnie and
Dana at first |
16 more |
|
| Before |
6 u |
4 u |
| Change |
|
- 1 u |
| After |
6 u |
3 u |
Comparing Winnie and
Dana in the end |
2x3 =
6 u |
1x3 =
3 u |
Number of beads that Dana had in the end is repeated. Make the number of beads that Dana had in the end the same. LCM of 1 and 3 is 3.
Number of beads that Winnie had at first = 6 u
Number of beads that Winnie had more than Dana at first
= 6 u - 4 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of beads that Dana had at first
= 4 u
= 4 x 8
= 32
Answer(s): 32
