Question

Sam works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs. Let 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.

Answer 1

Answer: $-4t+1590$

Step-by-step explanation:

The complete exercise is:

"Sam works as a tutor for $11 an hour and as a waiter for $15 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."

Let be "t" the number of hours Sam worked as a tutor this month and "w" the number of hours Sam worked as a waiter this month.

Then:

1. You know that he earned  $11 per hour working as a tutor . This can be represented with this expression:

$11t$

2. Since he earned $15 per hour working as a waiter,you can  represented this with this expression:

$15w$

3. Then, the total amount of money in dollars he earned this month can expressed as:

$11t+15w$

4. Since  he worked a combined total of $106$ hours at his two jobs this month, you know that:

$t+w=106$

Solving for "w":

$w=106-t$

5. Substitute $w=106-t$] into the expression $11t+15w$, then:

$11t+15(106-t)$

6. Simplifying, you get:

$=11t+1590-15t=-4t+1590$