Roshel had 160 less lollipops than Kathy. Kathy used
56 of her lollipops and Roshel used
34 of her lollipops. In the end, Kathy had 4 times as much as Roshel. Find the number of lollipops that Kathy had at first.
|
Kathy |
Roshel |
Comparing Kathy and Parry at first |
|
160 less |
Before |
6x4 = 24 u |
4 u |
Change |
- 5x4 = - 20 u |
- 3 u |
After |
1x4 = 4 u |
1 u |
Comparing Kathy and Parry in the end |
4 u |
1 u |
The number of lollipops that Kathy had in the end is repeated. Make the number of lollipops that Kathy had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Roshel had less than Kathy
= 24 u - 4 u
= 20 u
20 u = 160
1 u = 160 ÷ 20 = 8
Number of lollipops that Kathy had at first
= 24 u
= 24 x 8
= 192
Answer(s): 192