## Related questions with answers

Mark works at a grocery store where employees make one and a half times their regular hourly wage when they work on a Saturday or a Sunday. Mark works an 8 hour shift 5 days per week, sometimes including weekends. His regular hourly wage is $8.50. What is the maximum amount that he could earn in one week? Explain your reasoning.

Solution

VerifiedIt is given that Mark works an 8 hours shift 5 days a week, his regular hourly wage is $\$8.50$, and he is paid one and a half times his regular hourly wage if he works on a Saturday or Sunday.

If his regular hourly wage is $\$8.50$, then his hourly wage on Saturday and Sunday is $1.5\cdot\$8.50=\$12.75$.

If he wants to earn the maximum amount possible in one week, he would need to work both Saturday and Sunday since he earns more per hour on those days. He should then work Saturday, Sunday, and 3 weekdays.

His maximum earnings will then be:

$\underbrace{3\cdot8\cdot\$8.50}_\text{3 weekdays}\;\;\;+\underbrace{2\cdot8\cdot\$12.75}_\text{Saturday and Sunday}=\$204+\$204=\boxed{\$408}$

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