Andy and Mark had 124 marbles in total. Andy had 48 marbles less than Mark at first. After Andy and Mark played a game with Tina, Andy had
15 as many marbles as Mark. If Andy lost as many marbles as Mark to Tina, find the number of marbles that Mark lost to Tina.
|
Andy |
Mark |
Difference |
Before |
1 u |
1 u + 48 |
48 |
Change |
- ? |
- ? |
|
After |
1 p |
5 p |
4 p |
Total number of marbles at first
= 1 u + 1 u + 48
= 2 u + 48
2 u + 48 = 124
2 u = 124 - 48
2 u = 76
1 u = 76 ÷ 2 = 38
Since Andy lost the same number of marbles as Mark, the difference in the number of marbles between Andy and Mark at first and in the end remains the same.
Difference in the number of marbles in the end
= 5 p - 1 p
= 4 p
4 p = 48
1 p = 48 ÷ 4 = 12
Number of marbles that Andy lost to Tina
= 1 u - 1 p
= 38 - 1 x 12
= 38 - 12
= 26
Since Mark lost the same number of marbles as Andy, the number of marbles that each lost to Tina is the same.
Number of marbles that Mark lost = 26
Answer(s): 26