Elyse used
34 of her brown stickers and
35 of her gold stickers to decorate her diary. In the end, she had an equal number of brown stickers and gold stickers left. Given that Elyse had a total of 65 brown and gold stickers at first, how many gold stickers did she use to decorate the diary?
|
Brown stickers |
Gold stickers |
Before |
4x2 = 8 u |
5x1 = 5 u |
Change |
- 3x2 = - 6 u |
- 3x1 = - 3 u |
After |
1x2 = 2 u |
2x1 = 2 u |
The number of brown stickers and gold stickers in the end is the same. Make the number of brown stickers and gold stickers in the end the same. LCM of 1 and 2 is 2.
Total number of stickers that Elyse used to decorate the diary
= 8 u + 5 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
Number of gold stickers that Elyse used to decorate the diary
= 3 u
= 3 x 5
= 15
Answer(s): 15