Jonathan parents tolf him that every 5 hours of homework or reading he completes he will be able to play 3 hours of video games lucas parents told their son that he can play 30 minutes for ever hour of homework or reading time if both boys spend the same amount of time on hw and reading time which boy get more time playing video games how do you know show your work

There are two people in this problem and both of them get time for playing if they complete the homeworks in their allotted time.

Taking the first instance of Jonathan

For every 5 hours of doing homework, the number of hours Jonathan

gets for playing video games = 3 hours

Then

For every 1 hour of doing homework, the number of hours Jonathan

gets for playing video games = (3/5) * 1 hours

= 3/5 hours

= 0.6 hours

= (0.6 * 60) minutes

= 36 minutes

Taking the second instance of Lucas

For every 1 hour of doing homework, the number of minutes Lucas

gets for playing video games = 30 minutes

Then we can easily say that if both Jonathan and Lucas spend the same amount of time doing homework, then Jonathan gets more playing time than Lucas.