Xylia used
37 of her black stickers and
25 of her red stickers to decorate her diary. In the end, she had an equal number of black stickers and red stickers left. Given that Xylia had a total of 410 black and red stickers at first, how many red stickers did she use to decorate the diary?
|
Black stickers |
Red stickers |
Before |
7x3 = 21 u |
5x4 = 20 u |
Change |
- 3x3 = - 9 u |
- 2x4 = - 8 u |
After |
4x3 = 12 u |
3x4 = 12 u |
The number of black stickers and red stickers in the end is the same. Make the number of black stickers and red stickers in the end the same. LCM of 4 and 3 is 12.
Total number of stickers that Xylia used to decorate the diary
= 21 u + 20 u
= 41 u
41 u = 410
1 u = 410 ÷ 41 = 10
Number of red stickers that Xylia used to decorate the diary
= 8 u
= 8 x 10
= 80
Answer(s): 80