Understanding the Equation
We have the equation 16 = 12 + 48/r. Our goal is to find the value of r that makes this true.
Step 1: Subtract 12 from both sides
We want to get the 48/r by itself. So subtract 12 from both sides:
- Left: 16 − 12 = 4
- Right: 12 + 48/r − 12 = 48/r
Now the equation is 4 = 48/r.
Step 2: Solve for r
If 4 = 48/r, then r is the number that makes 48 divided by r equal to 4.
- Think: 48 divided by what equals 4?
- We can write as a fraction: 48/r = 4.
To find r, multiply both sides by r and then divide by 4:
- 48 = 4r
- r = 48 / 4 = 12
Answer
The value of r is 12.
Quick Check
Plug r = 12 back into the original equation:
- 12 + 48/12 = 12 + 4 = 16
Both sides equal 16, so it’s correct!