Hilda used
23 of her yellow stickers and
27 of her grey stickers to decorate her diary. In the end, she had an equal number of yellow stickers and grey stickers left. Given that Hilda had a total of 264 yellow and grey stickers at first, how many grey stickers did she use to decorate the diary?
|
Yellow stickers |
Grey stickers |
Before |
3x5 = 15 u |
7x1 = 7 u |
Change |
- 2x5 = - 10 u |
- 2x1 = - 2 u |
After |
1x5 = 5 u |
5x1 = 5 u |
The number of yellow stickers and grey stickers in the end is the same. Make the number of yellow stickers and grey stickers in the end the same. LCM of 1 and 5 is 5.
Total number of stickers that Hilda used to decorate the diary
= 15 u + 7 u
= 22 u
22 u = 264
1 u = 264 ÷ 22 = 12
Number of grey stickers that Hilda used to decorate the diary
= 2 u
= 2 x 12
= 24
Answer(s): 24