Question

Jessica works as a tutor for $9 an hour and as a waitress for $12 an hour. This month, she worked a combined total of 83 hours at her two jobs.Let I be the number of hours Jessica worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Answer 1

Given:

Jessica works as a tutor for $9 an hour and as a waitress for $12 an hour.

She worked a combined total of 83 hours at her two jobs.

Required:

To write an expression for the combined total dollar amount she earned this month.

Explanation:

We have given that Jessica works as a tutor for $9 an hour and as a waitress for $12 an hour.

Let I be the number of hours Jessica worked as a tutor this month.

She worked a combined total of 83 hours at her two jobs.

Then the number of hours she worked as a waitress is,

$83-I$

Therefore, the required expression is given by,

$\begin{gathered} A=9I+12(83-I) \\ \Rightarrow A=9I+996-12I \\ \Rightarrow A=996-3I \end{gathered}$

Final Answer:

The required expression for the combined total dollar amount, say A, she earned this month is given by,

$A=996-3I$