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Let's analyze the system of equations given to determine the number of pages in the technology magazine.

The system of equations is:

\[
s = t - 18
\]
\[
12s = 10t + 32
\]

Where:
- \( s \) is the number of pages in the sports magazine.
- \( t \) is the number of pages in the technology magazine.

### Step 1: Substitute \( s = t - 18 \) into the second equation.

We substitute the first equation into the second one:

\[
12(t - 18) = 10t + 32
\]

### Step 2: Expand the left-hand side.

\[
12t - 216 = 10t + 32
\]

### Step 3: Simplify the equation.

Move all terms involving \( t \) to one side and constants to the other side:

\[
12t - 10t = 32 + 216
\]

\[
2t = 248
\]

### Step 4: Solve for \( t \).

\[
t = \frac{248}{2} = 124
\]

Thus, the number of pages in the technology magazine is **124 pages**, which corresponds to option **C**.

Let me know if you need more details or have any questions!

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Here are 5 related questions to expand on this topic:

1. How would the solution change if each issue of the sports magazine had 20 fewer pages than the technology magazine?
2. What would happen if the total number of pages in the sports magazine for a year was 40 more than in the technology magazine?
3. How can you graphically represent the two equations in the system?
4. How do the number of issues printed per year affect the total pages in each magazine?
5. What if the technology magazine increased its number of issues to 12 per year; how would this affect the system?

**Tip:** When solving systems of equations, substitution is an efficient method when one equation is already solved for a variable!

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. How many pages are in the technology magazine?

Learn how to solve a system of equations to determine the number of pages in a technology magazine. This problem involves solving a system of linear equations through substitution and is suitable for students in Grades 7-9.

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