Question

Lance has three times as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?

Answer 1

Nick = 21 pencils

Lance = 63 pencils

Explanation:

Nick = N

Lance = 3N

Nick + Lance = 84

Substitute

N + 3N = 84

Add

4N = 84

Divide both sides of the equation by 4

N = 21

Nick = 21 pencils

Lance = N(3) = 21(3) = 63 pencils

Hope this helps :)

Answer 2

Let Lance represented by L and Nick represented by N

As per the statement:

Lance has three times as many pencils as Nick

⇒
`L = 3N` .....[1]

It is also given that:

They have 84 pencils together.

⇒
`L+N = 84` .....[2]

Substitute the equation [1] into [2] we have;

`3N+N = 84`

⇒
`4N = 84`

Divide both sides by 4 we have;

N = 21

Substitute this in [1] we have;

L = 3(21) = 63

Therefore, Lance has 63 pencils and Nick has 21 pencils