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 shown 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.
 
s = t−18
12s = 10t+32

How many pages are in the technology magazine?
A.106
 pages
B.88
 pages
C.124
 pages
D.142
 pages

We are given a system of equations to solve for the number of pages in each issue of the technology magazine (denoted as \( t \)) and the sports magazine (denoted as \( s \)):

1. \( s = t - 18 \)
2. \( 12s = 10t + 32 \)

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

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

### Step 2: Expand the left-hand side of the equation.
\[
12t - 216 = 10t + 32
\]

### Step 3: Move the \( t \)-terms to one side and the constants to the other.
Subtract \( 10t \) from both sides:

\[
2t - 216 = 32
\]

Now, add 216 to both sides:

\[
2t = 248
\]

### Step 4: Solve for \( t \).
\[
t = \frac{248}{2} = 124
\]

### Conclusion:
The number of pages in each issue of the technology magazine is **124**.

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

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Do you want any more details or clarifications? Here are 5 related questions to explore further:

1. How many pages are in each issue of the sports magazine?
2. What is the total number of pages printed by the sports magazine in a year?
3. What is the total number of pages printed by the technology magazine in a year?
4. How would the system of equations change if the difference in pages between the magazines was more than 18?
5. How can you set up similar equations for other magazine scenarios?

**Tip:** When solving systems of equations, substitution is often easier if 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, given relationships between two magazines. This problem involves algebraic concepts such as the substitution method and solving linear equations, suitable for students in Grades 8-10.

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