Question

Michael works as a tutor for $9 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 105 hours at his two jobs.

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

Answer 1

9t + 8h = 105

9 per hour (t)
8 per hour (h)
total of both is 105

Answer 2

Answer: Hence, an expression for the combined total dollar amount he earned this month is
`t+840`

Explanation:

Since we have given that

Cost per hour Michael works as a tutor = $9

Cost per hour Michael works as a waiter = $8

Number of hours he worked combined = 105

Let the number of hours Michael worked as a tutor be 't'.

Let the number of hours Michael worked as a waiter be '105-t'.

According to question, we get that

`Total\ dollar=9t+8(105-t)\\\\Total\ dollar=9t+840-8t\\\\Total\ dollar=t+840`

Hence, an expression for the combined total dollar amount he earned this month is
`t+840`