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
Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students
Related to This Article
More math articles
- How to Find Percent of Increase and Decrease? (+FREE Worksheet!)
- Best Tablet Floor Stands For Online Teaching
- Division Dynamics: How to Solve Word Problems with Multi-digit Dividends and One-digit Divisors!”
- The Ultimate 6th Grade TCAP Math Course (+FREE Worksheets)
- SSAT Middle Level Math FREE Sample Practice Questions
- Top 10 8th Grade PARCC Math Practice Questions
- How to Employ Solids of Revolution
- Top 10 Tips You MUST Know to Retake the PERT Math
- The Best Teacher Desks in 2024
- SSAT Upper-Level Math Worksheets: FREE & Printable
What people say about "Geometry Puzzle – Challenge 71 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.