Question

Patrick and Sarah are seeing who can make the most money working their new jobs this summer. Sarah made $91.15 in the first month. If Patrick finishes the summer with $445.67, how many more hours, at a rate of $12.61 per hour, does Sarah need to work to make more money than Patrick?

Answer 1

To make more money than Patrick, Sarah needs to work at least 36 hours at a rate of $12.61 per hour.

Step-by-step explanation:

To find out how many more hours Sarah needs to work to make more money than Patrick, we need to calculate how much money Patrick already made and subtract it from the amount Sarah needs to surpass him.

Patrick made $445.67, so Sarah needs to earn more than $445.67 to win the competition.

Sarah made $91.15 in the first month. Let's assume that she works X hours a month. Her monthly earnings can be calculated by multiplying her hourly rate by the number of hours she works: 12.61X. To earn more than $445.67, her earnings need to be greater than this amount: 12.61X > 445.67.

Now we can solve the inequality to find X: X > 445.67 / 12.61. Dividing $445.67 by $12.61, we get approximately 35.35. Since Sarah cannot work a fraction of an hour, she needs to work at least 36 hours to make more money than Patrick.