Question

Ahmad works as a tutor for $9 an hour and as a waiter for $14 an hour. This month, he worked a combined total of 92 hours at his two jobs. Let t be the number of hours Ahmad worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer 1

Answer: 1288- 5t , where t = number of hours Ahmad worked as a tutor this month.

Step-by-step explanation:

Given : The number of hours Ahmad works as a tutor that month = t

Combined hours of job = 92

The number of hours Ahmad works as a waiter = 92-t

Amount he got as tutor per hour = $ 9

Amount he will get as tutor = (Amount he got as tutor per hour ) x (t)

= 9t

Amount he got as waiter per hour = $ 14

Amount he will get as waiter  =  (Amount he got as waiter per hour ) x (92-t)

= 14(92-t)

= 14 (92)-14t  [By distributive property]

= 1288 -14t

Combined  amount he earned this month= Amount he will get as tutor + Amount he got as waiter per hour

= 9t+  1288 -14t

=1288+9t-14t   [Commutative property]

= 1288- 5t

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

1288- 5t

where t = number of hours Ahmad worked as a tutor this month.