Question

Jeff is lining up child and adult bicycles at the bike shop where he works. The number of adult bicycles is nine less than three times the number of child bicycles. There are 42 adult bicycles. How many children’s bicycles are there?

Answer 1

x=child bicycles
42=adult bicycles

42=3x-9 add 9 to both sides
51=3x divide both sides by 3
17=x

There are 17 child bikes

Answer 2

There are 14 children’s bicycles.

Given that

Jeff is lining up child and adult bicycles at the bike shop where he works.

The number of adult bicycles is nine less than three times the number of child bicycles.

There are 42 adult bicycles.

We have to determine

How many children’s bicycles are there?

According to the question

Let x be the number of children's bicycles.

There are 42 adult bicycles.

The number of adult bicycles is nine less than three times the number of child bicycles is (3x-9).

Therefore,

The number of children’s bicycles are,

$\rm 3x-9 = 42\\\\3x = 42+9\\\\3x = 51\\\\x = \dfrac{51}{3}\\\\x =17$

Hence, there are 14 children’s bicycles.

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