Select the correct answer from each drop-down menu. Wayne, Winston, and Wilfred walked for an hour. Winston and Wilfred walked the same number of miles. Winston walked 2 miles less than Ź the
miles Wayne walked. Wilfred walked 2 miles more than 3 the miles Wayne walked.
A variable selected to solve this problem should represent the number of miles
walked in an hour.
In that hour, Wayne would have walked miles and Winston and Wilfred would have walked miles each. So, Wayne
walked
Winston and Wilfred.

Wayne walked 3 miles, both Winston and Wilfred walked 2.5 miles

Step-by-step explanation:

Create equations out of the given information...

Equation 1:  "Winston and Wilfred walked the same number of miles", becomes

  Winston = Wilfred     (the walked and equal amount of miles)

Equation 2: "Winston walked 2 miles less than 3/2 the miles Wayne walked" becomes

  Winston = (3/2)Wayne - 2      (2 less than 3/2 of Wayne's effort)

Equation 3:  "Wilfred walked 3/2 miles more than 1/3  the miles Wayne walked" becomes

  Wilfred = (1/3)Wayne + 3/2    (3/2 more than 1/3 of Wayne's effort)

Since Winston and Wilfred walked the same number of miles, equations 2 and 3 are equal.  Set them equal to each other and solve for how many miles Wayne walked...Treat 'Wayne' as a variable

(3/2)Wayne - 2 = (1/3)Wayne + 3/2

   (3/2)Wayne - (1/3)Wayne = 2 + 3/2     (get variables on one side of the

                                                                 equation, and constants on the  

                                                                  other side)

          (7/6)Wayne = 7/2     (combine fractions on both sides of the

                                             equation)

          (6/7)(7/6)Wayne = (7/2)(6/7)      (multiply both sides by the reciprocal

                                                             of 7/6 to get rid of the fraction on the

                                                              left side)

       Wayne = 42/14                           (Simplify the right side)

       Wayne = 3                              (reduce the fraction)

So Wayne walked 3 miles.   Now plug '3' in for 'Wayne' in equations 2 and 3 to solve the rest...

Equation 2:     Winston = (3/2)(3) - 2      (Wayne becomes '3')                

                           Winston = 9/2 - 2        

                                 Winston = 9/2 - 4/2

                                     Winston = 5/2 or 2.5 miles

Since Winston = Wilfred (equation 1) we know that Wilfred = 2.5 miles

So I had this question too so I got the number of miles are shown by how mush winston walked. winston and wilfred walked 2.5 miles, and wayne walked 3 miles.

Step-by-step explanation:

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