Tom and Liam had 138 stickers in total. Tom had 90 stickers less than Liam at first. After Tom and Liam played a game with Min, Tom had
211 as many stickers as Liam. If Tom lost as many stickers as Liam to Min, find the number of stickers that Liam lost to Min.
|
Tom |
Liam |
Difference |
Before |
1 u |
1 u + 90 |
90 |
Change |
- ? |
- ? |
|
After |
2 p |
11 p |
9 p |
Total number of stickers at first
= 1 u + 1 u + 90
= 2 u + 90
2 u + 90 = 138
2 u = 138 - 90
2 u = 48
1 u = 48 ÷ 2 = 24
Since Tom lost the same number of stickers as Liam, the difference in the number of stickers between Tom and Liam at first and in the end remains the same.
Difference in the number of stickers in the end
= 11 p - 2 p
= 9 p
9 p = 90
1 p = 90 ÷ 9 = 10
Number of stickers that Tom lost to Min
= 1 u - 2 p
= 24 - 2 x 10
= 24 - 20
= 4
Since Liam lost the same number of stickers as Tom, the number of stickers that each lost to Min is the same.
Number of stickers that Liam lost = 4
Answer(s): 4