A notebook is $8 more expensive than a pen.
four notebook and two pens cost $56.
How much does one notebook cost?
How much does one pen cost?

n = 12, p = 4

Step-by-step explanation:

Hi there!

n = notebook

p = pen

If we know that one notebook costs 8 dollars more than a pen,

we can set the equation for the cost of the pen as n - 8 = p. Now, we have to create an equation for the total cost. This could be represented as 4n + 2p = 56.

Let’s plug in that equation for the pen into our total cost equation.

This would become

Using distributive property, the equation becomes

After we combine like terms and add 16 to both sides, we find out that or n = 12

Now that we know the cost of the notebook, we can solve for the pen. Plug in 12 for the n values in the original equation

This leaves us with 48 + 2p = 56. Subtract 48 from both sides and then divide that by two to find p.

p = 4

I hope this helped!

Cost of one notebook = $12

Cost of one pen = $4

Step-by-step explanation:

Let,

Cost of one notebook = x

Cost of one pen = y

According to given statement;

x = y+8    Eqn 1

4x+2y=56    Eqn 2

Putting value of x from Eqn 1 in Eqn 2

4(y+8)+2y=56

4y+32+2y=56

6y=56-32

6y=24

Dividing both sides by 6

y=4

Putting y=4 in Eqn 1

x = 4+8

x=12

Hence,

Cost of one notebook = $12

Cost of one pen = $4