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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 and how do you know



Answer :

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!
akiran007

Analyzing the data Jonathan would get more time playing video games.

Name                                 Homework time               Game time

                                            hours                                 hours

Jonathan                             5                                          3

Lucas                                   1                                            0.5

Multiplying Lucas time with 5 on both sides would give

                                              5                                       2.5

Comparing Jonathan and Lucas games times ratio

Jonathan  5:3

Lucas      5:2.5

We would get 3 > 2.5

Which indicates that Jonathan time spent on games is more than time allowed to Lucas

Hence if both boys spent the same time on reading and homework Jonathan would get more time playing video games.

We know this by comparing their ratios.

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