To solve the problem where we need to find the value of [tex]\( y \)[/tex] given that the quotient of 12 and [tex]\( y \)[/tex] is 3, we can follow these steps:
1. Understand the problem statement:
The quotient of two numbers means dividing one number by the other. Here, the quotient of 12 and [tex]\( y \)[/tex] is given to be 3. This can be represented by the equation:
[tex]\[
\frac{12}{y} = 3
\][/tex]
2. Formulate the equation:
From the given information, we have:
[tex]\[
\frac{12}{y} = 3
\][/tex]
3. Isolate [tex]\( y \)[/tex]:
To find [tex]\( y \)[/tex], we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by [tex]\( y \)[/tex]:
[tex]\[
12 = 3y
\][/tex]
4. Solve for [tex]\( y \)[/tex]:
Now, we solve for [tex]\( y \)[/tex] by dividing both sides of the equation by 3:
[tex]\[
y = \frac{12}{3}
\][/tex]
5. Simplify the result:
Dividing 12 by 3, we get:
[tex]\[
y = 4
\][/tex]
So, the value of [tex]\( y \)[/tex] is [tex]\( 4 \)[/tex].
