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Malin and Shawn begin with the same number, t. Malin subtracts 6 from t and then divides the result by 6. Shawn adds 7 to t and then divides the result by 7. If Malin's final answer is the same as Shawn's final answer, what was the number t?

 May 3, 2015

Best Answer 

 #1
avatar+128598 
+10

[ t - 6] / 6 = [ t + 7 ] / 7     multiply through by the common denominator of 6, 7 = 42

7 [ t - 6 ]  = 6 [ t + 7 ]        simplify

7t - 42   = 6t + 42               subtract 6t from both sides, add 42 to both sides

t = 84

 

  

 May 3, 2015
 #1
avatar+128598 
+10
Best Answer

[ t - 6] / 6 = [ t + 7 ] / 7     multiply through by the common denominator of 6, 7 = 42

7 [ t - 6 ]  = 6 [ t + 7 ]        simplify

7t - 42   = 6t + 42               subtract 6t from both sides, add 42 to both sides

t = 84

 

  

CPhill May 3, 2015
 #2
avatar+1310 
+5

thanks a lot!!

 May 3, 2015

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