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The problem provides a system of equations for determining the number of pages in two different magazines: a sports magazine and a technology magazine.

Let’s solve this step by step.

We are given:
1. \( s = t - 18 \) (the number of pages in each issue of the sports magazine is 18 fewer than the number of pages in the technology magazine).
2. \( 12s = 10t + 32 \) (the total number of pages in all issues of the sports magazine for one year is 32 more than the total number of pages in the technology magazine for one year).

### Step 1: Substitute the value of \( s \) from the first equation into the second equation:
We know that \( s = t - 18 \), so substitute this into the second equation \( 12s = 10t + 32 \):

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

### Step 2: Expand and solve the equation:
Expand both sides:

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

Now, isolate \( t \) by moving all terms involving \( t \) to one side:

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

This simplifies to:

\[
2t = 248
\]

Finally, divide by 2:

\[
t = 124
\]

### Step 3: Conclusion:
The number of pages in the technology magazine is \( t = 124 \).

Thus, the correct answer is **C. 124 pages**.

Would you like further details or have any questions?

Here are 5 related questions to deepen understanding:
1. How would the solution change if the sports magazine had 20 issues per year instead of 12?
2. What happens if the total pages of the sports magazine were fewer than those of the technology magazine?
3. How can you check the solution to ensure it's correct?
4. How would the system of equations change if the magazines printed an equal number of issues?
5. What is the difference in total pages printed in a year between the two magazines?

**Tip:** When solving systems of equations, substituting one equation into another is an effective way to eliminate variables and simplify calculations.

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 linear equations involving magazine pages. The problem deals with a sports magazine and a technology magazine, using algebraic substitution and linear equations. Suitable for students in Grades 9-10.

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