Jen had 120 more stickers than Cathy. After Cathy gave away
13 of her stickers, Jen had thrice as many stickers as Cathy. How many stickers did Cathy have at first?
|
Jen |
Cathy |
Comparing Jen and Cathy at first |
120 more |
|
Before |
6 u |
3 u |
Change |
|
- 1 u |
After |
|
2 u |
Comparing Jen and Cathy in the end |
3x2 = 6 u |
1x2 = 2 u |
The number of stickers that Jen had at first and in the end remains unchanged. Make the number of stickers that Jen had the same. LCM of 6 and 3 is 6.
Number of stickers that Jen had more than Cathy at first
= 6 u - 3 u
= 3 u
3 u = 120
1 u = 120 ÷ 3 = 40
Number of stickers that Cathy had at first
= 3 u
= 3 x 40
= 120
Answer(s): 120