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# Jonathan and Lucas

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Jonathan's parents told him that for every 5 hours of homework or reading he completes, he would be able to play 3 hours of video games. His friend 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?

Oct 4, 2018

#1
+5225
+1

$$\text{Assume they both spent }N \text{ hours doing homework}\\ V_J = \dfrac{N}{5}\times 3 = \dfrac 3 5 N\\ V_L = \dfrac 1 2 N \\ \dfrac 3 5 > \dfrac 1 2 \\ \text{Jonathan gets to spend more time playing video games}$$

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Oct 4, 2018
#2
+18439
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Yup!    I would vote for Lucas' parents for being the better....but only barely.   Grrrrrr........

Oct 5, 2018