Michael and Sam had 66 stickers in total. Michael had 18 stickers less than Sam at first. After Michael and Sam played a game with Hazel, Michael had
25 as many stickers as Sam. If Michael lost as many stickers as Sam to Hazel, find the number of stickers that Sam lost to Hazel.
|
Michael |
Sam |
Difference |
Before |
1 u |
1 u + 18 |
18 |
Change |
- ? |
- ? |
|
After |
2 p |
5 p |
3 p |
Total number of stickers at first
= 1 u + 1 u + 18
= 2 u + 18
2 u + 18 = 66
2 u = 66 - 18
2 u = 48
1 u = 48 ÷ 2 = 24
Since Michael lost the same number of stickers as Sam, the difference in the number of stickers between Michael and Sam at first and in the end remains the same.
Difference in the number of stickers in the end
= 5 p - 2 p
= 3 p
3 p = 18
1 p = 18 ÷ 3 = 6
Number of stickers that Michael lost to Hazel
= 1 u - 2 p
= 24 - 2 x 6
= 24 - 12
= 12
Since Sam lost the same number of stickers as Michael, the number of stickers that each lost to Hazel is the same.
Number of stickers that Sam lost = 12
Answer(s): 12