Can someone help me through the steps of how to do this problem? I find it quite difficult. This is a pretty hard inequality word problem for me. Help regarding what steps I need to take to solve this problem is greatly appreciated.

Roberto plans to start a new job. In preparation, he decides that he should spend no more than $30$ hours per week on the job and homework combined. If Roberto wants to have at least $2$ homework hours for every $1$ hour at his job, what is the maximum number of hours that he should spend at his job each week?


Let $x$ and  $y$ be the number of hours spent on job and homework respectively. Now we have, $x+y\le 30$ and $2x\le y$ adding both we get $3x+y\le 30+y\implies x\le 10$. Hence maximum hours he should spend at his job is $10$.
