Erika used
35 of her purple stickers and
34 of her grey stickers to decorate her diary. In the end, she had an equal number of purple stickers and grey stickers left. Given that Erika had a total of 26 purple and grey stickers at first, how many grey stickers did she use to decorate the diary?
|
Purple stickers |
Grey stickers |
Before |
5x1 = 5 u |
4x2 = 8 u |
Change |
- 3x1 = - 3 u |
- 3x2 = - 6 u |
After |
2x1 = 2 u |
1x2 = 2 u |
The number of purple stickers and grey stickers in the end is the same. Make the number of purple stickers and grey stickers in the end the same. LCM of 2 and 1 is 2.
Total number of stickers that Erika used to decorate the diary
= 5 u + 8 u
= 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Number of grey stickers that Erika used to decorate the diary
= 6 u
= 6 x 2
= 12
Answer(s): 12