Victoria had 45 more lollipops than Xuan. Victoria used
34 of her lollipops and Xuan used
23 of her lollipops. In the end, Victoria had 2 times as much as Xuan. Find the number of lollipops that Xuan had at first.
|
Victoria |
Xuan |
Comparing Victoria and Parry at first |
45 more |
|
Before |
4x2 = 8 u |
3 u |
Change |
- 3x2 = - 6 u |
- 2 u |
After |
1x2 = 2 u |
1 u |
Comparing Victoria and Parry in the end |
2 u |
1 u |
The number of lollipops that Victoria had in the end is repeated. Make the number of lollipops that Victoria had in the end the same. LCM of 1 and 2 is 2.
Number of lollipops that Victoria had more than Xuan
= 8 u - 3 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Number of lollipops that Xuan had at first
= 3 u
= 3 x 9
= 27
Answer(s): 27