Lucy had 81 less jelly beans than Emma. Emma used
67 of her jelly beans and Lucy used
45 of her jelly beans. In the end, Emma had 2 times as much as Lucy. Find the number of jelly beans that Emma had at first.
|
Emma |
Lucy |
Comparing Emma and Parry at first |
|
81 less |
Before |
7x2 = 14 u |
5 u |
Change |
- 6x2 = - 12 u |
- 4 u |
After |
1x2 = 2 u |
1 u |
Comparing Emma and Parry in the end |
2 u |
1 u |
The number of jelly beans that Emma had in the end is repeated. Make the number of jelly beans that Emma had in the end the same. LCM of 1 and 2 is 2.
Number of jelly beans that Lucy had less than Emma
= 14 u - 5 u
= 9 u
9 u = 81
1 u = 81 ÷ 9 = 9
Number of jelly beans that Emma had at first
= 14 u
= 14 x 9
= 126
Answer(s): 126