Question

Alan earns $363 a week. Paul works for $8.25 an hour. Write and solve an inequality to find the number of hours Paul must work to make as much as or more than Alan.

Answer 1

Equation: 363 less than or equal to 8.25x
Answer: 44 hours, see attached photo for steps

Answer 2

Let the number of hours Paul needs to work = h.

You need to multiply Paul's hourly rate by the number of hours (h) to either be equal to or greater than what Alan makes:

The equation would be:

8.25h ≥ 363

To Solve divide both sides by 8.25

h ≥ 363 / 8.25

h ≥ 44

Paul needs to work at least 44 hours