Explanation

Let's set up the equations based on the given information:

1. 2p + 3c = 86 (Equation 1)

2. 4p + 1c = 112 (Equation 2)

where p is the price of a pen and c is the price of a pencil.

To solve for p and c, we can use substitution or elimination. Let's use the elimination method.

First, solve Equation 2 for c:

4p + c = 112

c = 112 - 4p

Now, substitute this expression for c into Equation 1:

2p + 3(112 - 4p) = 86

2p + 336 - 12p = 86

2p - 12p = 86 - 336

-10p = -250

p = 25

So, the price of a pen is 25.