Xuan had 115 more stickers than Cathy. After Cathy gave away
13 of her stickers, Xuan had four times as many stickers as Cathy. How many stickers did Cathy have at first?
|
Xuan |
Cathy |
Comparing Xuan and Cathy at first |
115 more |
|
Before |
8 u |
3 u |
Change |
|
- 1 u |
After |
|
2 u |
Comparing Xuan and Cathy in the end |
4x2 = 8 u |
1x2 = 2 u |
The number of stickers that Xuan had at first and in the end remains unchanged. Make the number of stickers that Xuan had the same. LCM of 8 and 4 is 8.
Number of stickers that Xuan had more than Cathy at first
= 8 u - 3 u
= 5 u
5 u = 115
1 u = 115 ÷ 5 = 23
Number of stickers that Cathy had at first
= 3 u
= 3 x 23
= 69
Answer(s): 69