Hazel used
35 of her blue stickers and
37 of her purple stickers to decorate her diary. In the end, she had an equal number of blue stickers and purple stickers left. Given that Hazel had a total of 85 blue and purple stickers at first, how many purple stickers did she use to decorate the diary?
|
Blue stickers |
Purple stickers |
Before |
5x2 = 10 u |
7x1 = 7 u |
Change |
- 3x2 = - 6 u |
- 3x1 = - 3 u |
After |
2x2 = 4 u |
4x1 = 4 u |
The number of blue stickers and purple stickers in the end is the same. Make the number of blue stickers and purple stickers in the end the same. LCM of 2 and 4 is 4.
Total number of stickers that Hazel used to decorate the diary
= 10 u + 7 u
= 17 u
17 u = 85
1 u = 85 ÷ 17 = 5
Number of purple stickers that Hazel used to decorate the diary
= 3 u
= 3 x 5
= 15
Answer(s): 15