Esther had 72 less lollipops than Emma. Emma used
67 of her lollipops and Esther used
23 of her lollipops. In the end, Emma had 3 times as much as Esther. Find the number of lollipops that Emma had at first.
|
Emma |
Esther |
Comparing Emma and Parry at first |
|
72 less |
Before |
7x3 = 21 u |
3 u |
Change |
- 6x3 = - 18 u |
- 2 u |
After |
1x3 = 3 u |
1 u |
Comparing Emma and Parry in the end |
3 u |
1 u |
The number of lollipops that Emma had in the end is repeated. Make the number of lollipops that Emma had in the end the same. LCM of 1 and 3 is 3.
Number of lollipops that Esther had less than Emma
= 21 u - 3 u
= 18 u
18 u = 72
1 u = 72 ÷ 18 = 4
Number of lollipops that Emma had at first
= 21 u
= 21 x 4
= 84
Answer(s): 84