Zane and Jack had 40 stickers in total. Zane had 12 stickers less than Jack at first. After Zane and Jack played a game with Tammy, Zane had
14 as many stickers as Jack. If Zane lost as many stickers as Jack to Tammy, find the number of stickers that Jack lost to Tammy.
|
Zane |
Jack |
Difference |
Before |
1 u |
1 u + 12 |
12 |
Change |
- ? |
- ? |
|
After |
1 p |
4 p |
3 p |
Total number of stickers at first
= 1 u + 1 u + 12
= 2 u + 12
2 u + 12 = 40
2 u = 40 - 12
2 u = 28
1 u = 28 ÷ 2 = 14
Since Zane lost the same number of stickers as Jack, the difference in the number of stickers between Zane and Jack at first and in the end remains the same.
Difference in the number of stickers in the end
= 4 p - 1 p
= 3 p
3 p = 12
1 p = 12 ÷ 3 = 4
Number of stickers that Zane lost to Tammy
= 1 u - 1 p
= 14 - 1 x 4
= 14 - 4
= 10
Since Jack lost the same number of stickers as Zane, the number of stickers that each lost to Tammy is the same.
Number of stickers that Jack lost = 10
Answer(s): 10