Certainly! Let's solve the given equation step-by-step to find the relationship between [tex]\( N \)[/tex] and [tex]\( n \)[/tex].
The equation provided is:
[tex]\[ 4N = 30n \][/tex]
We need to isolate [tex]\( N \)[/tex] to express it in terms of [tex]\( n \)[/tex]. To do this, we'll divide both sides of the equation by 4:
[tex]\[ N = \frac{30n}{4} \][/tex]
To simplify the fraction on the right-hand side, we divide the numerator by the denominator:
[tex]\[ N = \frac{30}{4}n \][/tex]
Performing the division for [tex]\(\frac{30}{4}\)[/tex] gives us:
[tex]\[ \frac{30}{4} = 7.5 \][/tex]
So, our equation now looks like this:
[tex]\[ N = 7.5n \][/tex]
This means that [tex]\( N \)[/tex] is 7.5 times the value of [tex]\( n \)[/tex].
