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Sheri and Niles worked at the library a total of 18 hours a week. Sheri worked 2 hours a week more than Niles. How many hours did each work a week?

Answer :

Final answer:

The question is a middle school math problem involving an algebraic approach to determine the hours worked by two individuals. Niles worked 8 hours a week, and Sheri worked 10 hours a week.

Explanation:

The subject of this question is Mathematics, specifically focusing on algebra word problems. To solve the problem about Sheri and Niles working at the library, let's define the number of hours Niles worked as x. Since Sheri worked two hours more than Niles, she worked x + 2 hours. Together, they worked a total of 18 hours a week. Therefore, the equation that represents the situation is x + (x + 2) = 18. Solving this equation:

Add the terms with x: 2x + 2 = 18.

Subtract 2 from both sides: 2x = 16.

Divide by 2: x = 8.

So, Niles worked 8 hours a week. To find out how many hours Sheri worked, we add 2 to Niles' hours: Sheri worked 10 hours a week.

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