6. Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 5 times the number of tricycles. All the bicycles and tricycles together have a total of 154 wheels. Find how many bicycles
and tricycles are there.

Actually Welcome to the Concept of the Linear equations.

Let the number of bicycles = x

and number of tricycles = y

the relationship given is,

x = 5y-1

number of wheels of bicycle = 2x and of tricycles=3y

and other relation is, 2x+3y = 154

so now substituting we get as,

==> 2(5y-1) +3y= 154

10y-2+3y = 154

13y = 154+2

=> y = 12

=> 12*3 = 36 wheels of tricycles

so, 154-36 => 118 wheels of the bicycle.

so the number of bicycles = 118/2 = 59

hence,

==> number of bicycles = 59 and tricycles = 12

its definatley   this on your answer choice?

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step-by-step explanation: