Winnie used
23 of her blue stickers and
37 of her grey stickers to decorate her diary. In the end, she had an equal number of blue stickers and grey stickers left. Given that Winnie had a total of 209 blue and grey stickers at first, how many grey stickers did she use to decorate the diary?
|
Blue stickers |
Grey stickers |
Before |
3x4 = 12 u |
7x1 = 7 u |
Change |
- 2x4 = - 8 u |
- 3x1 = - 3 u |
After |
1x4 = 4 u |
4x1 = 4 u |
The number of blue stickers and grey stickers in the end is the same. Make the number of blue stickers and grey stickers in the end the same. LCM of 1 and 4 is 4.
Total number of stickers that Winnie used to decorate the diary
= 12 u + 7 u
= 19 u
19 u = 209
1 u = 209 ÷ 19 = 11
Number of grey stickers that Winnie used to decorate the diary
= 3 u
= 3 x 11
= 33
Answer(s): 33