Dana had 110 more jelly beans than Wendy. Dana used
67 of her jelly beans and Wendy used
34 of her jelly beans. In the end, Dana had 2 times as much as Wendy. Find the number of jelly beans that Wendy had at first.
|
Dana |
Wendy |
Comparing Dana and Parry at first |
110 more |
|
Before |
7x2 = 14 u |
4 u |
Change |
- 6x2 = - 12 u |
- 3 u |
After |
1x2 = 2 u |
1 u |
Comparing Dana and Parry in the end |
2 u |
1 u |
The number of jelly beans that Dana had in the end is repeated. Make the number of jelly beans that Dana had in the end the same. LCM of 1 and 2 is 2.
Number of jelly beans that Dana had more than Wendy
= 14 u - 4 u
= 10 u
10 u = 110
1 u = 110 ÷ 10 = 11
Number of jelly beans that Wendy had at first
= 4 u
= 4 x 11
= 44
Answer(s): 44