Sam works as a tutor for $13 an hour and as a waiter for $10 an hour. This month, he worked a combined total of 106 hours at his two jobs. Let t be the number of hours Sam worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

The combined total dollar amount A is;

A = $ (3t + 1060)

Step-by-step explanation:

In this question, we have the very hardworking Sam and given the amount he earns as a tutor and as a waiter, we are asked to give an expression for the combined total amount he earned this particular month.

Let's start this by saying let's represent the total amount he has earned this month by the letter A.

Now let's move!

He has worked t hours as a tutor. Since he worked a total of 106 hours, the total number of hours he had worked as a waiter would thus be (106-t) hours

Now, let's calculate his earnings.

Earnings as a tutor; that would be $13/h * t hours = $13t

Earnings as a waiter; that would be $10/h * (106-t) hours = $ (1060-10t)

The combined total dollar amount as requested by the question would thus be;

A = $13t + $ (1060-10t)

A = $13t - $10t + $1060

A = $ (3t + 1060)

13t+10 (106-t) = X (total monies)

t+w=106

Can you work from there?