who spends 2/3 of his money on a video game before spending half of his remaining money on lunch if his lunch cost $10 how much money did he have at first

We have to work backwards for this. Since his lunch came at $10 and it says half of his remaining money, this means that $10 was half and the real value was $20. Now since he spent 2/3 of his money on video games, this means that $20 is only 1/3 of that, so we multiply by 3 and we get the original amount of $60.

2/3 on video games

1/3 left

1/3 x 1/2 = 10 (half of 1/3 is $10)

= 1/6 of the whole

1/6 x 10 = 60

Therefore, you have $60 at first