There are a total of 135 seats, 118 front handlebars and 269 wheels. how many bicycles, tandem bicycles, and tricycles in the wheel shop

118 handle bars tells us that there's 118 bikes

if all 118 bikes were regular bikes
118*2 = 236
we would be 33 wheels short

118*1 = 118
we would be 17 seats short



if 101 of the bikes are regular and 17 are tandem
101*1 = 101
17*2 = 34
we would have the right amount of seats

101*2 = 202
17*2 = 34
202 + 34 = 236
we would be 33 wheels short.



if 17 bikes are tandem, 33 are tricycle, and 68 are regular
17*2 = 34
33*3 = 99
68*2 = 136
we would have the right amount of wheels

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There are 68 bicycles, 17 tandem bicycles, and 33 tricycles.

This question isn't hard, it just takes longer since it's based off of guess and check.