Answer:
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 [tex]4n + 2(n-8) = 56[/tex]
Using distributive property, the equation becomes [tex]4n + 2n - 16 = 56[/tex]
After we combine like terms and add 16 to both sides, we find out that [tex]6n = 72[/tex] 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 [tex]4n + 2p = 56[/tex]
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!
Answer:
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
[tex]\frac{6y}{6}=\frac{24}{6}[/tex]
y=4
Putting y=4 in Eqn 1
x = 4+8
x=12
Hence,
Cost of one notebook = $12
Cost of one pen = $4
