shonna skateboards for some number of minutes on Monday, On Tuesday, dshe skateboards for twice as many minutes as she did on monday, and on Wednesday, she skateboards for half the sum of minutes from Monday and Tuesday. Altogether , she skateboard for a total of three hours. how many minutes did she skateboard each day?

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absor201 absor201 · Answer 1 · 2019-12-19T16:42:27+01:00

Shonna skateboarded 40 minutes on Monday, 80 minutes on Tuesday and 60 minutes on Wednesday.

Step-by-step explanation:

Given,

Total time spent on skate boarding = 3 hours

1 hour = 60 minutes

3 hours = 60*3 = 180 minutes

Time spent on skate boarding = 180 minutes

Let,

Time spent on skate boarding on Monday = x

Time spent on Tuesday = 2x

Time spent on Wednesday = [tex]\frac{x+2x}{2} = \frac{3x}{2}[/tex]

According to given statement;

[tex]x+2x+\frac{3}{2}=180[/tex]

Taking LCM on left side;

[tex]\frac{2x+4x+3x}{2}=180\\\frac{9x}{2}=180[/tex]

Multiplying both sides by 2

[tex]2*\frac{9x}{2}=180*2\\9x=360[/tex]

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{360}{9}\\x=40[/tex]

Time spent on Monday = x = 40 minutes

Time spent on Tuesday = 2x = 2(40) = 80 minutes

Time spent on Wednesday = [tex]\frac{3x}{2} = \frac{3(40)}{2} =\frac{120}{2} = 60\ minutes[/tex]

Shonna skateboarded 40 minutes on Monday, 80 minutes on Tuesday and 60 minutes on Wednesday.

Keywords: linear equation, variable

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