Zara had 84 less lollipops than Dana. Dana used
78 of her lollipops and Zara used
23 of her lollipops. In the end, Dana had 3 times as much as Zara. Find the number of lollipops that Dana had at first.
| |
Dana |
Zara |
Comparing Dana
and Parry at first |
|
84 less |
| Before |
8x3 =
24 u |
3 u |
| Change |
- 7x3 =
- 21 u |
- 2 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 Zara had less than Dana
= 24 u - 3 u
= 21 u
21 u = 84
1 u = 84 ÷ 21 = 4
Number of lollipops that Dana had at first
= 24 u
= 24 x 4
= 96
Answer(s): 96
