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Albert and Mae watched a motorcycle club convoy whiz by their car during their Spring Break road trip. The club
members were riding traditional two-wheeled motorcycles as well as three-wheeled tricycles. Albert counted 38 total cycles while Mae counted 89 total wheels. How many traditional motorcycles were in the convoy?

Respuesta :

rubye8715

Answer: 25 motorcycles :) hoped this helped

There were 25 motorcycles in the convoy.

  Given in the question,

  • Albert counted 38 total cycles (two wheeled and three wheeled).
  • Mae counted 89 total number of wheels.

Let the number of two wheeled motorcycles in the road trip = b

And the number of tricycles = t

Therefore, equation for the first statement,

       "Albert counted 38 total cycles"

t + b = 38 -------(1)

Equation for the second statement,

        "Mae counted 89 total number of wheels"

2b + 3t = 89 ---------(2)

Multiply equation (1) by 3 and subtract it from equation (2),

(2b + 3t) - 3(t + b) = 89 - 3(38)

2b + 3t - 3t - 3b = 89 - 114

-b = -25

b = 25

  Therefore, there were 25 motorcycles in the convoy.

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