Question

Josh works as a tutor for $9 an hour and as a waiter for $8 dollars an hour. This month, he worked a combined total of 101 hours at his two jobs.

Let t be the number of hours Josh worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer 1

Answer:   9t+8(101-t)

Work Shown:

t = number of hours tutoring

101-t = number of hours working as a waiter

The expressions t and 101-t add to 101.

9t = amount earned as a tutor, at $9 an hour

8(101-t) = amount earned as a waiter, at $8 an hour

9t+8(101-t) = total amount earned from both jobs

This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.