What is Tiana's final number if her starting number is 23 ? $$ \frac{1}{2}(n-5)=\frac{1}{2}(23-5) $$ Tiana's final number is ?

Question

UpStudy AI · Accepted Answer

To find Tiana's final number, we need to solve the equation given:

$$
\frac{1}{2}(n-5) = \frac{1}{2}(23-5)
$$

Let's simplify the right side of the equation first:

1. Calculate $$23 - 5$$:
   $$
   23 - 5 = 18
   $$

2. Now substitute this back into the equation:
   $$
   \frac{1}{2}(n-5) = \frac{1}{2}(18)
   $$

3. Simplify the right side:
   $$
   \frac{1}{2}(18) = 9
   $$

Now the equation is:
$$
\frac{1}{2}(n-5) = 9
$$

Next, we will eliminate the fraction by multiplying both sides by 2:
$$
n - 5 = 18
$$

Now, solve for $$n$$ by adding 5 to both sides:
$$
n = 18 + 5
$$
$$
n = 23
$$

Thus, Tiana's final number is $$23$$.
Tiana's final number is 23.

What is Tiana's final number if her starting number is 23 ? \( \frac{1}{2}(n-5)=\frac{1}{2}(23-5) \) Tiana's final number is ?