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anonymous
 5 years ago
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
anonymous
 5 years ago
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

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sandra
 5 years ago
Best ResponseYou've already chosen the best response.0ok hmmm. I'm going to try to translate these into equations

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so let's say time drinking is "d" and time studying is "s"

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0the first line means that d = s + 1.8

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 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
 5 years ago
Best ResponseYou've already chosen the best response.0now 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
 5 years ago
Best ResponseYou've already chosen the best response.0in this case, how about we substitute d from the first equation (s+1.8), into the second

sandra
 5 years ago
Best ResponseYou've already chosen the best response.01. 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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