Eva had 120 less lollipops than Dana. Dana used
45 of her lollipops and Eva used
45 of her lollipops. In the end, Dana had 3 times as much as Eva. Find the number of lollipops that Dana had at first.
| |
Dana |
Eva |
Comparing Dana
and Parry at first |
|
120 less |
| Before |
5x3 =
15 u |
5 u |
| Change |
- 4x3 =
- 12 u |
- 4 u |
| After |
1x3 =
3 u |
1 u |
Comparing Dana
and Parry in the end |
3 u |
1 u |
The number of lollipops that Dana had in the end is repeated. Make the number of lollipops that Dana had in the end the same. LCM of 1 and 3 is 3.
Number of lollipops that Eva had less than Dana
= 15 u - 5 u
= 10 u
10 u = 120
1 u = 120 ÷ 10 = 12
Number of lollipops that Dana had at first
= 15 u
= 15 x 12
= 180
Answer(s): 180
