word problem

Question

Goran works as a tutor for $13 an hour and as a waiter for $11 an hour. This month, he worked a combined total of 98 hours at his two jobs. Let t be the number of hours Goran worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer 1

Let t = the time Goran worked as a tutor this month.  Since Goran worked a total of 98 hours, the time he worked as a waiter is 98-t.

 

The amount Goran earned as a tutor is (t hours)*($13 per hour)

 

The amount Goran earned as a waiter is (98-t hours)*($11 per hour)

 

The total amount Goran earned, then, is:

 

Total = (t hours)*($13 per hour) + (98-t hours)*($11 per hour)

 

You can combine terms and simplify if you want:

 

Total = 13t + 1078 -11t = 2t + 1078

Answer 2

t = hour worked as tutor

98 - t = hours worked as a waiter

 

11(t) + 13(98-t) = total earnings