Kylie used ⁵₇ of her gold stickers and ³₄ of her silver stickers to decorate her diary. In the end, she had an equal number of gold stickers and silver stickers left. Given that Kylie had a total of 105 gold and silver stickers at first, how many silver stickers did she use to decorate the diary?

	Gold stickers	Silver 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 gold stickers and silver stickers in the end is the same.  Make the number of gold stickers and silver stickers in the end the same.  LCM of 2 and 1 is 2.

Total number of stickers that Kylie used to decorate the diary
= 7 u + 8 u
= 15 u

15 u = 105

1 u = 105 ÷ 15 = 7

Number of silver stickers that Kylie used to decorate the diary
= 6 u
= 6 x 7
= 42

Answer(s): 42