Yen had 60 less lollipops than Penelope. Penelope used
45 of her lollipops and Yen used
45 of her lollipops. In the end, Penelope had 4 times as much as Yen. Find the number of lollipops that Penelope had at first.
| |
Penelope |
Yen |
Comparing Penelope
and Parry at first |
|
60 less |
| Before |
5x4 =
20 u |
5 u |
| Change |
- 4x4 =
- 16 u |
- 4 u |
| After |
1x4 =
4 u |
1 u |
Comparing Penelope
and Parry in the end |
4 u |
1 u |
The number of lollipops that Penelope had in the end is repeated. Make the number of lollipops that Penelope had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Yen had less than Penelope
= 20 u - 5 u
= 15 u
15 u = 60
1 u = 60 ÷ 15 = 4
Number of lollipops that Penelope had at first
= 20 u
= 20 x 4
= 80
Answer(s): 80
