Olivia had 210 more candy canes than Xuan. Olivia used
56 of her candy canes and Xuan used
23 of her candy canes. In the end, Olivia had 4 times as much as Xuan. Find the number of candy canes that Xuan had at first.
|
Olivia |
Xuan |
Comparing Olivia and Parry at first |
210 more |
|
Before |
6x4 = 24 u |
3 u |
Change |
- 5x4 = - 20 u |
- 2 u |
After |
1x4 = 4 u |
1 u |
Comparing Olivia and Parry in the end |
4 u |
1 u |
The number of candy canes that Olivia had in the end is repeated. Make the number of candy canes that Olivia had in the end the same. LCM of 1 and 4 is 4.
Number of candy canes that Olivia had more than Xuan
= 24 u - 3 u
= 21 u
21 u = 210
1 u = 210 ÷ 21 = 10
Number of candy canes that Xuan had at first
= 3 u
= 3 x 10
= 30
Answer(s): 30