Number Properties Puzzle – Challenge 3
Number Properties Puzzle – Challenge 3 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
Challenge
Seven circles are joined in a zigzag chain, each circle connected by a line to the next. Two of them are filled in: the leftmost circle holds 3/4 and the circle above and to its right holds 9/4.
In the figure above, the sum of the values inside any two circles joined by a line equals 3 — for example, 9/4 + 3/4 = 3. What is the sum of the numbers inside all seven circles?
A- (9frac{1}{4})
B- (9frac{3}{4})
C- (11frac{1}{4})
D- (11frac{3}{4})
E- (12)
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The correct answer is B.
Write the values of all rectangular and add them.
(frac{3}{4} + frac{9}{4} + frac{3}{4} + frac{9}{4} +frac{ 3}{4 }+ frac{9}{4 }+ frac{3}{4 }= 9 frac{3}{4})
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