MHB How many stickers did Angel and Kareem have altogether?

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Angel had five times the number of stickers as Kareem. After giving 36 stickers to Kareem, both ended up with an equal amount. The equations derived from the situation are a = 5k and a - 36 = k + 36. Solving these equations reveals that Angel originally had 180 stickers and Kareem had 36 stickers. Altogether, they had 216 stickers.
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Angel and Kareem had some stickers. Angel had 5 times as many stickers as Kareem. After Angel gave 36 stickers to Kareem, both of them had an equal number of stickers. How many stickers did they both have altogether
 
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Angel had 5 times as many stickers as Kareem

$a = 5k$

Angel gave 36 stickers to Kareem, both of them had an equal number of stickers.

$a-36 = k+36$

solve the system of equations
 
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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