Ahmad and Andy had 116 marbles in total. Andy had 60 marbles more than Ahmad at first. After Ahmad and Andy played a game with Tina, Ahmad had
16 as many marbles as Andy. If Ahmad lost as many marbles as Andy to Tina, find the number of marbles that Ahmad lost to Tina.
|
Ahmad |
Andy |
Difference |
Before |
1 u |
1 u + 60 |
60 |
Change |
- ? |
- ? |
|
After |
1 p |
6 p |
5 p |
Total number of marbles at first
= 1 u + 1 u + 60
= 2 u + 60
2 u + 60 = 116
2 u = 116 - 60
2 u = 56
1 u = 56 ÷ 2 = 28
Since Ahmad lost the same number of marbles as Andy, the difference in the number of marbles between Ahmad and Andy at first and in the end remains the same.
Difference in the number of marbles in the end
= 6 p - 1 p
= 5 p
5 p = 60
1 p = 60 ÷ 5 = 12
Number of marbles that Ahmad lost to Tina
= 1 u - 1 p
= 28 - 1 x 12
= 28 - 12
= 16
Answer(s): 16