Emma had 120 less lollipops than Roshel. Roshel used
56 of her lollipops and Emma used
34 of her lollipops. In the end, Roshel had 4 times as much as Emma. Find the number of lollipops that Roshel had at first.
|
Roshel |
Emma |
Comparing Roshel and Parry at first |
|
120 less |
Before |
6x4 = 24 u |
4 u |
Change |
- 5x4 = - 20 u |
- 3 u |
After |
1x4 = 4 u |
1 u |
Comparing Roshel and Parry in the end |
4 u |
1 u |
The number of lollipops that Roshel had in the end is repeated. Make the number of lollipops that Roshel had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Emma had less than Roshel
= 24 u - 4 u
= 20 u
20 u = 120
1 u = 120 ÷ 20 = 6
Number of lollipops that Roshel had at first
= 24 u
= 24 x 6
= 144
Answer(s): 144