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We are given the following system of equations to determine \( s \), the number of pages in each issue of the sports magazine, and \( t \), the number of pages in each issue of the technology magazine:

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

### Steps to solve:

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

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

2. **Simplify** the left-hand side:

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

3. **Isolate** \( t \):

   Subtract \( 10t \) from both sides:
   \[
   2t - 216 = 32
   \]

   Add 216 to both sides:
   \[
   2t = 248
   \]

   Divide by 2:
   \[
   t = 124
   \]

So, the number of pages in each issue of the technology magazine is \( \boxed{124} \).

Would you like further clarification or details on any part of this solution?

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Here are 5 related questions to expand your understanding:

1. How many pages are in each issue of the sports magazine?
2. What would happen if the number of issues per year of both magazines changed?
3. How can you verify the solution by substituting \( t = 124 \) back into the original system of equations?
4. What other types of systems of equations can be solved using substitution?
5. Can the system of equations be solved using another method, like elimination?

**Tip:** When solving systems of equations, substitution works well when one equation is already solved for one variable, as in this case.

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. The system of equations can be used to determine s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine.

Learn how to solve a system of linear equations to find the number of pages in a sports magazine and technology magazine. This problem involves substitution and basic algebra concepts, suitable for students in Grades 8-10.

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