Answer:
Let Lance represented by L and Nick represented by N
As per the statement:
Lance has three times as many pencils as Nick
⇒[tex]L = 3N[/tex] .....[1]
It is also given that:
They have 84 pencils together.
⇒[tex]L+N = 84[/tex] .....[2]
Substitute the equation [1] into [2] we have;
[tex]3N+N = 84[/tex]
⇒[tex]4N = 84[/tex]
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
