Cathy used
35 of her gold stickers and
25 of her red stickers to decorate her diary. In the end, she had an equal number of gold stickers and red stickers left. Given that Cathy had a total of 200 gold and red stickers at first, how many red stickers did she use to decorate the diary?
|
Gold stickers |
Red stickers |
Before |
5x3 = 15 u |
5x2 = 10 u |
Change |
- 3x3 = - 9 u |
- 2x2 = - 4 u |
After |
2x3 = 6 u |
3x2 = 6 u |
The number of gold stickers and red stickers in the end is the same. Make the number of gold stickers and red stickers in the end the same. LCM of 2 and 3 is 6.
Total number of stickers that Cathy used to decorate the diary
= 15 u + 10 u
= 25 u
25 u = 200
1 u = 200 ÷ 25 = 8
Number of red stickers that Cathy used to decorate the diary
= 4 u
= 4 x 8
= 32
Answer(s): 32