Nora used
57 of her purple stickers and
25 of her gold stickers to decorate her diary. In the end, she had an equal number of purple stickers and gold stickers left. Given that Nora had a total of 279 purple and gold stickers at first, how many gold stickers did she use to decorate the diary?
|
Purple stickers |
Gold stickers |
Before |
7x3 = 21 u |
5x2 = 10 u |
Change |
- 5x3 = - 15 u |
- 2x2 = - 4 u |
After |
2x3 = 6 u |
3x2 = 6 u |
The number of purple stickers and gold stickers in the end is the same. Make the number of purple stickers and gold stickers in the end the same. LCM of 2 and 3 is 6.
Total number of stickers that Nora used to decorate the diary
= 21 u + 10 u
= 31 u
31 u = 279
1 u = 279 ÷ 31 = 9
Number of gold stickers that Nora used to decorate the diary
= 4 u
= 4 x 9
= 36
Answer(s): 36