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Charmaine works as a tutor for $10 an hour and as a waitress for $13 an hour. This month, she worked a combined total of 107 hours at her two jobs. Let t be the number of hours Charmaine worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

User Sindia
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Explanation:

Total earnings = (Hours as a tutor * Tutor hourly rate) + (Hours as a waitress * Waitress hourly rate)

Let:

t be the number of hours Charmaine worked as a tutor.

w be the number of hours Charmaine worked as a waitress.

Tutor hourly rate = $10 per hour.

Waitress hourly rate = $13 per hour.

So, the expression for Charmaine's combined total earnings this month would be:

Total earnings = (t * $10) + (w * $13)

However, you're given that Charmaine worked a combined total of 107 hours at her two jobs this month, so you can also express w in terms of t:

w = 107 - t

Now, substitute this expression for w back into the total earnings equation:

Total earnings = (t * $10) + ((107 - t) * $13)

Simplify:

Total earnings = $10t + $1,391 - $13t

Now, you can simplify further:

Total earnings = $1,391 - $3t

So, the expression for the combined total dollar amount Charmaine earned this month is:

Total earnings = $1,391 - $3t

User Jwolsborn
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