anonymous
  • anonymous
the number of hours per week spent drinking exeeded the number of hours per week spent studying by 1.8 hours. if an average of 18.6 hours per week were spent on both activities, determine the average number of hours spent per week spent on each activities
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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sandra
  • sandra
ok hmmm. I'm going to try to translate these into equations
sandra
  • sandra
so let's say time drinking is "d" and time studying is "s"
sandra
  • sandra
the first line means that d = s + 1.8

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sandra
  • sandra
so if we know an average of 18.6 hours/week were spent on both activities, then that means that d+s/2 = 18.6
sandra
  • sandra
now you need to use substitution to get the final answer - i.e. take the value of a variable from one equation and substitute it into the other - since you need an equation to be all of one variable to solve it
sandra
  • sandra
in this case, how about we substitute d from the first equation (s+1.8), into the second
sandra
  • sandra
1. d = s + 1.8 2. (d+s)/2 = 18.6 3. (s+1.8 + s)/2 = 18.6 4. (2s + 1.8)/2 = 18.6 5. 2s + 1.8 = 37.2 6. 2s = 35.4 7. s = 17.7 17.7 hours were spent studying

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