Certainly! Let's solve the problem step-by-step.
### Problem Statement
We are given that the quotient of 12 and [tex]\( y \)[/tex] is 3. Mathematically, this can be expressed as:
[tex]\[ \frac{12}{y} = 3 \][/tex]
### Step-by-Step Solution
1. Start with the given equation:
[tex]\[ \frac{12}{y} = 3 \][/tex]
2. Isolate [tex]\( y \)[/tex]:
To isolate [tex]\( y \)[/tex], we need to get rid of the fraction. We do this by multiplying both sides of the equation by [tex]\( y \)[/tex]:
[tex]\[ 12 = 3y \][/tex]
3. Solve for [tex]\( y \)[/tex]:
Next, we need to isolate [tex]\( y \)[/tex] itself. We can do this by dividing both sides of the equation by 3:
[tex]\[ y = \frac{12}{3} \][/tex]
4. Calculate the value of [tex]\( y \)[/tex]:
Performing the division:
[tex]\[ y = 4 \][/tex]
### Conclusion
The value of [tex]\( y \)[/tex] that satisfies the equation is:
[tex]\[ y = 4 \][/tex]
So, when the quotient of 12 and [tex]\( y \)[/tex] is 3, [tex]\( y \)[/tex] must be 4.
