Elyse used
57 of her blue stickers and
34 of her red stickers to decorate her diary. In the end, she had an equal number of blue stickers and red stickers left. Given that Elyse had a total of 60 blue and red stickers at first, how many red stickers did she use to decorate the diary?
|
Blue stickers |
Red stickers |
Before |
7x1 = 7 u |
4x2 = 8 u |
Change |
- 5x1 = - 5 u |
- 3x2 = - 6 u |
After |
2x1 = 2 u |
1x2 = 2 u |
The number of blue stickers and red stickers in the end is the same. Make the number of blue stickers and red stickers in the end the same. LCM of 2 and 1 is 2.
Total number of stickers that Elyse used to decorate the diary
= 7 u + 8 u
= 15 u
15 u = 60
1 u = 60 ÷ 15 = 4
Number of red stickers that Elyse used to decorate the diary
= 6 u
= 6 x 4
= 24
Answer(s): 24