Answer :
Let's solve the given equation step by step.
The equation we have is:
[tex]\[ \frac{1}{2}r + 62 = 111 \][/tex]
Step 1: Isolate the term with [tex]\( r \)[/tex]
To isolate [tex]\(\frac{1}{2}r\)[/tex], we need to get rid of the 62 that's added to it. We do this by subtracting 62 from both sides of the equation:
[tex]\[ \frac{1}{2}r + 62 - 62 = 111 - 62 \][/tex]
This simplifies to:
[tex]\[ \frac{1}{2}r = 49 \][/tex]
Step 2: Solve for [tex]\( r \)[/tex]
Now, we have [tex]\(\frac{1}{2}r = 49\)[/tex]. To find [tex]\( r \)[/tex], we need to eliminate the fraction by multiplying both sides of the equation by 2:
[tex]\[ 2 \times \frac{1}{2}r = 49 \times 2 \][/tex]
This gives us:
[tex]\[ r = 98 \][/tex]
Thus, the solution for [tex]\( r \)[/tex] is [tex]\( r = 98 \)[/tex].
These steps provide a clear understanding of how [tex]\( r = 196 \)[/tex] was determined through the process of isolating and solving for the variable.
The equation we have is:
[tex]\[ \frac{1}{2}r + 62 = 111 \][/tex]
Step 1: Isolate the term with [tex]\( r \)[/tex]
To isolate [tex]\(\frac{1}{2}r\)[/tex], we need to get rid of the 62 that's added to it. We do this by subtracting 62 from both sides of the equation:
[tex]\[ \frac{1}{2}r + 62 - 62 = 111 - 62 \][/tex]
This simplifies to:
[tex]\[ \frac{1}{2}r = 49 \][/tex]
Step 2: Solve for [tex]\( r \)[/tex]
Now, we have [tex]\(\frac{1}{2}r = 49\)[/tex]. To find [tex]\( r \)[/tex], we need to eliminate the fraction by multiplying both sides of the equation by 2:
[tex]\[ 2 \times \frac{1}{2}r = 49 \times 2 \][/tex]
This gives us:
[tex]\[ r = 98 \][/tex]
Thus, the solution for [tex]\( r \)[/tex] is [tex]\( r = 98 \)[/tex].
These steps provide a clear understanding of how [tex]\( r = 196 \)[/tex] was determined through the process of isolating and solving for the variable.
