Question

Jonathan’s parents told him that for every 5 hours of homework or reading he completes, he would be able to play 3hours of video games. His freind Lucas’s parents told their son that he could 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

Jonathan can play three hours of video games for every 5 hours he studies. This means that for every hour he studies, he is allows to play 3/5 of hours of videogame:

`5 \text{ hours of studying} = 3 \text{ hours of playing} \implies \cfrac{5\text{ hours of studying}}{5} = \cfrac{3 \text{ hours of playing}}{5}`

So, for every hour spent studying, Jonathan can play 3/5 = 0.6 hours, while Lucas can play 30 minutes, which is half an hour, which is 0.5.

So, every hour spent studying rewards Jonathan with more time for videogames than Lucas.