Question

Jonathan’s parents told him that for every five hours of homework or reading he completes, he would be able to play three hours of video games. His friend Lucas’ parents told their son that he could play 30 minutes for every hour of homework or reading he completes. If both boys spend the same amount of time on homework and reading this week, which boy gets more time playing video games? How do you know?

Answer 1

Jonathan gets more time to play video games

Explanation:

Using ratios

Jonathan 5:3

Lucas 2:1

Answer 2

So, to set up this equation, lets just say that Lucas did 5 hours of homework also. The ratio of Lucas's homework to video games is 60 minutes of homework/30 minutes of video games. If we converted the 5 hours into 300 minutes then you would multiply the 60 minutes by 5 and the 30 minutes by 5 also. You would get 300 minutes/150 minutes. Jonathan's ratio is every 5 hours of homework/3 hours of video games. We would convert this to minutes by taking both numbers and multiplying them by 60. We would get 300 minutes/180 minutes. Using this we know that Jonathan gets more time to play video games because every 5 hours of homework he gets 180 minutes of gaming and for Lucas, every 5 hours of homework he only gets 150 minutes of gaming. I hope that this helped you!

Explanation: