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Shonna skateboarded for some number of minutes on Monday.  On Tuesday, she skateboarded for twice as many minutes as she did on Monday, and on Wednessday, she skateboarded for half the sum of minutes from Mnday and tuesday.  Altogether, she skateboarded for a total of three hours.  How many minutes did she skatenoard each day?

 Oct 16, 2015

Best Answer 

 #1
avatar+128731 
+10

Let N  be the number of minutes on Monday

2N  be rhe number of minutes on Tuesday

And  [ N + 2N]/ 2  = [3N] / 2  = the number of minutes on Wed.

Note......3 hours = 180 min  .......so we have

 

N + 2N + [3N] /2 =180        combine like terms on the left

 

3N + (3/2)N  = 180    →  3N  = (6/2)N

 

(9/2)N = 180      multiply both sides by 2/9

 

40 = N   = Monday's minutes

2N  = 80  = Tuesday's minutes

[3 (40) ] / 2   = 60 minutes = Wed.

 

 

 

cool cool cool

 Oct 16, 2015
edited by CPhill  Oct 16, 2015
 #1
avatar+128731 
+10
Best Answer

Let N  be the number of minutes on Monday

2N  be rhe number of minutes on Tuesday

And  [ N + 2N]/ 2  = [3N] / 2  = the number of minutes on Wed.

Note......3 hours = 180 min  .......so we have

 

N + 2N + [3N] /2 =180        combine like terms on the left

 

3N + (3/2)N  = 180    →  3N  = (6/2)N

 

(9/2)N = 180      multiply both sides by 2/9

 

40 = N   = Monday's minutes

2N  = 80  = Tuesday's minutes

[3 (40) ] / 2   = 60 minutes = Wed.

 

 

 

cool cool cool

CPhill Oct 16, 2015
edited by CPhill  Oct 16, 2015

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