Julian and Andy had 78 stickers in total. Andy had 14 stickers more than Julian at first. After Julian and Andy played a game with Nora, Julian had
13 as many stickers as Andy. If Julian lost as many stickers as Andy to Nora, find the number of stickers that Julian lost to Nora.
|
Julian |
Andy |
Difference |
Before |
1 u |
1 u + 14 |
14 |
Change |
- ? |
- ? |
|
After |
1 p |
3 p |
2 p |
Total number of stickers at first
= 1 u + 1 u + 14
= 2 u + 14
2 u + 14 = 78
2 u = 78 - 14
2 u = 64
1 u = 64 ÷ 2 = 32
Since Julian lost the same number of stickers as Andy, the difference in the number of stickers between Julian and Andy at first and in the end remains the same.
Difference in the number of stickers in the end
= 3 p - 1 p
= 2 p
2 p = 14
1 p = 14 ÷ 2 = 7
Number of stickers that Julian lost to Nora
= 1 u - 1 p
= 32 - 1 x 7
= 32 - 7
= 25
Answer(s): 25