Lucy had 90 more jelly beans than Kathy. Lucy used
45 of her jelly beans and Kathy used
45 of her jelly beans. In the end, Lucy had 4 times as much as Kathy. Find the number of jelly beans that Kathy had at first.
|
Lucy |
Kathy |
Comparing Lucy and Parry at first |
90 more |
|
Before |
5x4 = 20 u |
5 u |
Change |
- 4x4 = - 16 u |
- 4 u |
After |
1x4 = 4 u |
1 u |
Comparing Lucy and Parry in the end |
4 u |
1 u |
The number of jelly beans that Lucy had in the end is repeated. Make the number of jelly beans that Lucy had in the end the same. LCM of 1 and 4 is 4.
Number of jelly beans that Lucy had more than Kathy
= 20 u - 5 u
= 15 u
15 u = 90
1 u = 90 ÷ 15 = 6
Number of jelly beans that Kathy had at first
= 5 u
= 5 x 6
= 30
Answer(s): 30