Dana had 54 more jelly beans than Rachel. Dana used
34 of her jelly beans and Rachel used
23 of her jelly beans. In the end, Dana had 3 times as much as Rachel. Find the number of jelly beans that Rachel had at first.
|
Dana |
Rachel |
Comparing Dana and Parry at first |
54 more |
|
Before |
4x3 = 12 u |
3 u |
Change |
- 3x3 = - 9 u |
- 2 u |
After |
1x3 = 3 u |
1 u |
Comparing Dana and Parry in the end |
3 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 3 is 3.
Number of jelly beans that Dana had more than Rachel
= 12 u - 3 u
= 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of jelly beans that Rachel had at first
= 3 u
= 3 x 6
= 18
Answer(s): 18