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

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.