Betty used
47 of her black stickers and
37 of her green stickers to decorate her diary. In the end, she had an equal number of black stickers and green stickers left. Given that Betty had a total of 98 black and green stickers at first, how many green stickers did she use to decorate the diary?
|
Black stickers |
Green stickers |
Before |
7x4 = 28 u |
7x3 = 21 u |
Change |
- 4x4 = - 16 u |
- 3x3 = - 9 u |
After |
3x4 = 12 u |
4x3 = 12 u |
The number of black stickers and green stickers in the end is the same. Make the number of black stickers and green stickers in the end the same. LCM of 3 and 4 is 12.
Total number of stickers that Betty used to decorate the diary
= 28 u + 21 u
= 49 u
49 u = 98
1 u = 98 ÷ 49 = 2
Number of green stickers that Betty used to decorate the diary
= 9 u
= 9 x 2
= 18
Answer(s): 18