Anna used
57 of her blue stickers and
27 of her black stickers to decorate her diary. In the end, she had an equal number of blue stickers and black stickers left. Given that Anna had a total of 343 blue and black stickers at first, how many black stickers did she use to decorate the diary?
|
Blue stickers |
Black stickers |
Before |
7x5 = 35 u |
7x2 = 14 u |
Change |
- 5x5 = - 25 u |
- 2x2 = - 4 u |
After |
2x5 = 10 u |
5x2 = 10 u |
The number of blue stickers and black stickers in the end is the same. Make the number of blue stickers and black stickers in the end the same. LCM of 2 and 5 is 10.
Total number of stickers that Anna used to decorate the diary
= 35 u + 14 u
= 49 u
49 u = 343
1 u = 343 ÷ 49 = 7
Number of black stickers that Anna used to decorate the diary
= 4 u
= 4 x 7
= 28
Answer(s): 28