Question

Jonathan's parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video games. His friend Lucas's parents told their son that he can play 30 minutes for every hour of homework or reading time 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

The easiest way to explain this is by using an example. If both boys read and do homework for 10 hours:

Jonathan
5:3 = 10: 6 Jonathan will play video games for 6 hours.

Luca
2:1 = 10:5 Luca will play video games for 5 hours.

If both boys spend the same amount of time on homework and reading this week, Jonathan gets more time playing video games.

Answer 2

Jonathan spends more time playing video games because 3/5 of the time he is playing video games, while Lucas is only playing thirty minutes out of sixty, which simplifies into 1/2. Jonathan plays 60% of the time and Lucas plays 50%. (I overdid it a little sorry)