Jen used
23 of her yellow stickers and
37 of her red stickers to decorate her diary. In the end, she had an equal number of yellow stickers and red stickers left. Given that Jen had a total of 209 yellow and red stickers at first, how many red stickers did she use to decorate the diary?
|
Yellow stickers |
Red 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 yellow stickers and red stickers in the end is the same. Make the number of yellow stickers and red stickers in the end the same. LCM of 1 and 4 is 4.
Total number of stickers that Jen used to decorate the diary
= 12 u + 7 u
= 19 u
19 u = 209
1 u = 209 ÷ 19 = 11
Number of red stickers that Jen used to decorate the diary
= 3 u
= 3 x 11
= 33
Answer(s): 33