Sarah used
37 of her white stickers and
34 of her grey stickers to decorate her diary. In the end, she had an equal number of white stickers and grey stickers left. Given that Sarah had a total of 161 white and grey stickers at first, how many grey stickers did she use to decorate the diary?
|
White stickers |
Grey stickers |
Before |
7x1 = 7 u |
4x4 = 16 u |
Change |
- 3x1 = - 3 u |
- 3x4 = - 12 u |
After |
4x1 = 4 u |
1x4 = 4 u |
The number of white stickers and grey stickers in the end is the same. Make the number of white stickers and grey stickers in the end the same. LCM of 4 and 1 is 4.
Total number of stickers that Sarah used to decorate the diary
= 7 u + 16 u
= 23 u
23 u = 161
1 u = 161 ÷ 23 = 7
Number of grey stickers that Sarah used to decorate the diary
= 12 u
= 12 x 7
= 84
Answer(s): 84