SOLUTION: can you please show I detail how to solve this problem: hunter spent 2/3 of his money on a video game before spending half of his remaining money on lunch. lunch costs $10. how muc

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: can you please show I detail how to solve this problem: hunter spent 2/3 of his money on a video game before spending half of his remaining money on lunch. lunch costs $10. how muc      Log On


   



Question 1044305: can you please show I detail how to solve this problem: hunter spent 2/3 of his money on a video game before spending half of his remaining money on lunch. lunch costs $10. how much money did he have to begin with?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
hunter spent 2/3 of his money on a video game before spending half of his remaining money on lunch.
lunch costs $10. how much money did he have to begin with?
:
Let a = amt to begin with
if he spent 2/3, the remaining has to be 1/3, of which half was spent on lunch, therefore
1%2F2*1%2F3 = 1%2F6 of the total amt spent on lunch
therefore
1%2F6a = 10
multiply both sides by 6
a = $60