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Each month, a new set of puzzles will be posted.  Come back next month for the solutions and a new set of puzzles, or subscribe to have them sent directly to you.

 Point P is the center of the circle in the figure below. What is the value of angle BPC or xº?. An online bookstore sells novels and magazines. Each novel sells for \$4, and each magazine sells for \$1. If Fiona purchased a total of 11 novels and magazines that have a combined selling price of \$20, how many novels did she purchase? The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?

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##### Last month's solutions
 This matchstick image of a numeral equation (8 + 3 – 4 = 0) is incorrect. Can you correct the equation by moving just a) one matchstick and b) by moving just two matchsticks? (Note: All matchsticks must be used and there may be more than one solution for a and b.) Solutions: A: B:   Jackie has two summer jobs. She works as a tutor, which pays \$12 per hour, and she works as a lifeguard, which pays \$9.50 per hour. Each week she earns a total of \$220 while working a total of 20 hours per week. How many hours did she work at each job per week? Solution:  Let x = hours working as a tutor and y = hours working as a lifeguard. x + y = 20, y = 20 – x, and therefore: 12x + 9.5y = 220 12x + 9.5 (20 – x) = 220 12x + 190 – 9.5 x = 2202.5x = 30 x = 12 and y = 20 – x = 20 – 12 = 8 In the triangle below, what is the length of line AD? Solution: Triangles ADB and CDB are congruent to each other because since they are both 30°-60°-90° triangles and share the side BD. In triangle ADB, side AD is opposite to the angle 30° and therefore, the length AD is half the length of hypotenuse AB. Since the triangles are congruent, AB = BC = 12. So the length of AD = 12/2 = 6.