Kathy used
25 of her black stickers and
35 of her white stickers to decorate her diary. In the end, she had an equal number of black stickers and white stickers left. Given that Kathy had a total of 275 black and white stickers at first, how many white stickers did she use to decorate the diary?
|
Black stickers |
White stickers |
Before |
5x2 = 10 u |
5x3 = 15 u |
Change |
- 2x2 = - 4 u |
- 3x3 = - 9 u |
After |
3x2 = 6 u |
2x3 = 6 u |
The number of black stickers and white stickers in the end is the same. Make the number of black stickers and white stickers in the end the same. LCM of 3 and 2 is 6.
Total number of stickers that Kathy used to decorate the diary
= 10 u + 15 u
= 25 u
25 u = 275
1 u = 275 ÷ 25 = 11
Number of white stickers that Kathy used to decorate the diary
= 9 u
= 9 x 11
= 99
Answer(s): 99