# Geometry Puzzle – Challenge 71

This is a fun and engaging math puzzle to challenge even the smartest students and help them develop logic skills.

## Challenge:

The total weight of a box and the candies it contains is 12 pounds. After $$\frac{2}{3}$$ of the candies are eaten, the box and the remaining candies weigh 5 pounds. What is the weight of the empty box in pounds?

A- $$\frac{2}{3}$$

B- 1

C- $$\frac{3}{2}$$

D- $$2\frac{1}{2}$$

E- 5

$11.99 Satisfied 123 Students The correct answer is C. Let “B” be the weight of the box and “C” be the weight of the candies. So: B + C = 12 After $$\frac{2}{3}$$ of the candies are eaten, the box and the remaining candies weigh 5 pounds. So, B + $$\frac{1}{3}$$ C = 5 Solve the system of two equations: B + C = 12 → B = 12 – C B + $$\frac{1}{3}$$ C = 5 → 12 – C + $$\frac{1}{3}$$ C = 5 → 12 – $$\frac{2}{3}$$ C = 5 → C = 10.5 B = 12 – C → B = 12 – 10.5 = 1.5 The weight of the box is 1.5 pounds. ### More math articles ### What people say about "Geometry Puzzle - Challenge 71"? No one replied yet. X 30% OFF Limited time only! Save Over 30% SAVE$5

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