mckaylaoeffinger2006 mckaylaoeffinger2006
  • 04-09-2020
  • Mathematics
contestada

sammy's bicycle and tricycles. clarence went to Sammy's and counted 37 sets of handlebars and 95 wheels. How many bicycles and tricycles did Sammy have in his shop?

Respuesta :

rococo908
rococo908 rococo908
  • 04-09-2020

Answer:

16 bicycles and 21 tricycles

Step-by-step explanation:

Both bicycles and tricycles have 1 set of handlebars. Bicycles have 2 wheels while tricycles have 3.

Using this information, set up a system of equations, where b is the number of bicycles and t is the number of tricycles:

b + t = 37

2b + 3t = 95

Solve by elimination by multiplying the top equation by -2:

-2b - 2t = -74

2b + 3t = 95

t = 21

Then, plug in 21 as t into one of the equations:

b + t = 37

b + 21 = 37

b = 16

So, there are 16 bicycles and 21 tricycles

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