Mathematics, 06.11.2019 00:31 pcastaneda03

Wayne, winston, and wilfred walked for an hour. winston and wilfred walked the same number of miles. winston walked 2 miles less than 3/2 the miles wayne walked. wilfred walked 3/2 miles more than 1/3
the miles wayne walked.

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Answer from: Meliiiii

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

Answer from: Quest

The last one bc that's a calendar

Answer from: Quest

answer:

write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.

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Wayne, winston, and wilfred walked for an hour. winston and wilfred walked the same number of miles....