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
The Absolute Best Book to challenge your Smart Student!
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.The Best Books to Ace Algebra
$14.99Satisfied 1 Students$14.99Satisfied 92 Students$15.99Satisfied 125 Students
Related to This Article
More math articles
- 10 Tips for Advanced Studying Mathematics
- How to Prepare for the CHSPE Math Test?
- Visualizing the Magic: How to Multiply Fractions Using Models
- How to Perform Operations of Decimals and Whole Numbers: Word Problems
- How to Perform Operations of Decimals: Word Problems
- Convert Between Decimals and Mixed Numbers
- SIFT Math FREE Sample Practice Questions
- How to Solve the Complex Plane?
- What Kind of Math do You Need to Be a Medical Assistant?
- The Ultimate PARCC Algebra 1 Course (+FREE Worksheets)
What people say about "Geometry Puzzle – Challenge 71 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.