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The problem describes Alan working as a tutor for $9 an hour and as a waiter for $8 an hour. He worked a total of 105 hours combined for both jobs. We need to express his total earnings.

Let:
- $ t $ be the number of hours Alan worked as a tutor.
- $ 105 - t $ be the number of hours Alan worked as a waiter (since the total hours worked is 105).

The total earnings are calculated by adding his earnings from both jobs:
1. His earnings from tutoring: $ 9t $ dollars (since he earns $9 for each hour).
2. His earnings from waiting: $ 8(105 - t) $ dollars (since he earns $8 for each hour and worked $ 105 - t $ hours as a waiter).

The expression for the total earnings is:
\[
9t + 8(105 - t)
\]

You can simplify this further:
\[
9t + 8(105 - t) = 9t + 840 - 8t = t + 840
\]

So, the combined total dollar amount he earned this month is given by:
\[
t + 840
\]

Would you like further details or explanations?

Here are some related questions:
1. How many hours did Alan work as a tutor if he earned $900 in total?
2. What is the maximum amount Alan could have earned if he only worked as a tutor?
3. If Alan worked 40 hours as a waiter, how much did he earn from both jobs combined?
4. How many hours must Alan work as a tutor to earn at least $500?
5. What is the minimum number of hours Alan can work to make at least $1000?

**Tip:** When forming algebraic expressions, ensure that all the parts of the equation represent real-world situations accurately for clarity.

Alan works as a tutor for $9 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 105 hours at his two jobs. Let t be the number of hours Alan worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

This problem helps you write an algebraic expression for the combined earnings of Alan, who worked as a tutor for $9 an hour and as a waiter for $8 an hour, for a total of 105 hours. Suitable for students in Grades 6-8.

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