Penelope had 108 less lollipops than Winnie. Winnie used
45 of her lollipops and Penelope used
12 of her lollipops. In the end, Winnie had 4 times as much as Penelope. Find the number of lollipops that Winnie had at first.
| |
Winnie |
Penelope |
Comparing Winnie
and Parry at first |
|
108 less |
| Before |
5x4 =
20 u |
2 u |
| Change |
- 4x4 =
- 16 u |
- 1 u |
| After |
1x4 =
4 u |
1 u |
Comparing Winnie
and Parry in the end |
4 u |
1 u |
The number of lollipops that Winnie had in the end is repeated. Make the number of lollipops that Winnie had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Penelope had less than Winnie
= 20 u - 2 u
= 18 u
18 u = 108
1 u = 108 ÷ 18 = 6
Number of lollipops that Winnie had at first
= 20 u
= 20 x 6
= 120
Answer(s): 120
