Jane used
23 of her red stickers and
37 of her gold stickers to decorate her diary. In the end, she had an equal number of red stickers and gold stickers left. Given that Jane had a total of 228 red and gold stickers at first, how many gold stickers did she use to decorate the diary?
|
Red stickers |
Gold stickers |
Before |
3x4 = 12 u |
7x1 = 7 u |
Change |
- 2x4 = - 8 u |
- 3x1 = - 3 u |
After |
1x4 = 4 u |
4x1 = 4 u |
The number of red stickers and gold stickers in the end is the same. Make the number of red stickers and gold stickers in the end the same. LCM of 1 and 4 is 4.
Total number of stickers that Jane used to decorate the diary
= 12 u + 7 u
= 19 u
19 u = 228
1 u = 228 ÷ 19 = 12
Number of gold stickers that Jane used to decorate the diary
= 3 u
= 3 x 12
= 36
Answer(s): 36