Zoe used
57 of her white stickers and
34 of her pink stickers to decorate her diary. In the end, she had an equal number of white stickers and pink stickers left. Given that Zoe had a total of 105 white and pink stickers at first, how many pink stickers did she use to decorate the diary?
|
White stickers |
Pink stickers |
Before |
7x1 = 7 u |
4x2 = 8 u |
Change |
- 5x1 = - 5 u |
- 3x2 = - 6 u |
After |
2x1 = 2 u |
1x2 = 2 u |
The number of white stickers and pink stickers in the end is the same. Make the number of white stickers and pink stickers in the end the same. LCM of 2 and 1 is 2.
Total number of stickers that Zoe used to decorate the diary
= 7 u + 8 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Number of pink stickers that Zoe used to decorate the diary
= 6 u
= 6 x 7
= 42
Answer(s): 42