MHB Using linear systems to solve problems (3)

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Rajah's earnings consist of an hourly wage and tips. In the first week, he worked 12 hours and earned a total of $117. In the second week, he worked 10 hours and earned $110, with tips equal to the previous week. By setting up a system of linear equations based on these earnings, one can solve for Rajah's hourly wage. The solution reveals the hourly wage Rajah earns from his work.
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Rajah earns an hourly wage plus tips. One week he worked 12 h and made a total of \$117. The next week he worked 10 h and earned the same amount in tips as the week before, for a total of \$110. What is Rajah's hourly wage?
 
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Only the slightest variation from the rental car problem.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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