Question

Ivan works as a tutor for $8 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 89 hours at his two jobs. Let t be the number of hours Ivan worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer 1

t+623

Explanation:

If t is the number of hours Ivan worked as a tutor this month, you can say that the number of hours that Ivan worked as a waiter would be the result of subtracting the amount of hours he worked as a tutor this month from the combined total of hours he worked, which is:

89-t

After this, you can say that the combined total dollar amount Ivan earned this month is the result of adding up what he earned as a tutor plus the amount he earned as a waiter which is equal to 89-t. So, you would have:

8t+7*(89-t)

=8t+623-7t

=t+623

This means that the expression for the combined total dollar amount he earned this month is: t+623