A total of 135 seats, 118 front handlebars (that steer the bike) and 269 wheels how many bicycles, tandem bicycles, and tricycles are there in the wheel shop?

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windyyork windyyork · Answer 1 · 2019-09-05T11:03:10+02:00

Answer: There are 35 bicycles, 33 tricycles and 50 tandem bicycles.

Step-by-step explanation:

Since we have given that

Number of seats = 135

Number of front handle bars = 118

Number of wheels = 269

Since there are 118 front handle bars.

And we know that each bicycle has 1 front handle bars.

So, total number of bicycles = 118

Now, each bicycle has 2 wheels

So, Number of wheels should be

[tex]118\times 2\\\\=236\ wheels[/tex]

But here we have 269 wheels , it means it has tricycle which has 3 wheels.

So, Remaining wheels would be

[tex]269-236\\\\=33\ wheels[/tex]

It means 33 bicycles has 3 wheels .

So, Number of tricycles = 33

So, Number of bicycles should be now

[tex]118-33=85[/tex]

Each bicycle has 1 seat

So, number of seats should be 85

But we have 135 seats,

So, remaining seats should be of tandem bicycle.

[tex]135-85=50[/tex]

So, Number of bicycles now becomes

85-50 = 35

Hence, there are 35 bicycles, 33 tricycles and 50 tandem bicycles.