The value of N is 5.
Let x represent the number of action figures Allen has.
Let y represent the number of action figures Barbara has.
Let z represent the number of action figures Charlie has.
<h3 /><h3>Generating the equations</h3>
Given that this morning Allen had 2 more action figures than Barbara, we have that x = y + 2 (1)
Also, Barbara had 8 more action figures than Charlie, we have that y = z + 8 (2)
Now, Allen have some of his action figures to Charlie, and now both Allen and Charlie have the same number of action figures.
Let p be the number of action figures Allen gave to charlie. So, Allen now has x - p action figures and Charlie now has z + p
Since now, both Allen and Charlie have the same number of action figures, we have that
x - p = z + p (3)
Barbara now has N more action figures than Charlie does.
So, y + N = z + p + 8 (4)
<h2 /><h2>Solving the equations</h2>
Substituting (2) into (1), we have
x = y + 2
= z + 8 + 2
= z + 10
x = z + 10 (5)
<h3>The value of p</h3>
Substituting (5) into (3), we have
x - p = z + p
z + 10 - p = z + p
10 - p = p
10 = 2p
p = 10/2
p = 5
<h3 /><h3>The value of N</h3>
Substituting (2) into (4), we have
y + N = z + p + 8
z + 8 + N = z + p + 8
N = p
Since p = 5, N = 5
So, the value of N is 5.
Learn more about equations here:
brainly.com/question/26002046
