Question 835153
Let x = number of cats, y = number of dogs


If one cat requires 12 minutes per day, then x cats will require 12x minutes (12 times x). Note: if this makes no sense, then replace x with a number, say x = 3, so 3 cats require 12*3 = 36 minutes


If one dog requires 20 minutes, then y of them will take up 20y minutes


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In total, x cats and y dogs will take up a total of {{{12x + 20y}}} minutes


There are 8 hours total, which is equal to 8*60 = 480 minutes. This is the max you can spend with both animals combined, which means



{{{Total_Time <= 480}}}


{{{12x+20y <= 480}}}


Remember to keep your units the same. Each animal's time is in minutes, so that's why I converted 8 hours to 480 minutes.


Final Answer: {{{12x+20y <= 480}}}