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?

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)

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. 

Number of Small Cones Sold=22

Number of Large Cones Sold=34

Step-by-step explanation:

Suppose,

Number of Small Cones Sold: s

Number of Large Cones Sold: l

For the condition that, larges cones sold were 12 more than small ones, equation would be

and for the total revenue condition of $163

By solving equation (i) and (ii) simultaneously, we get

s=22

and

l=34

Hence, small cones sold would be 22 and large cones sold would be 34.