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
- Word Problems Involving Comparing Rates
- Full-Length 8th Grade ACT Aspire Math Practice Test-Answers and Explanations
- Best Calculator For 8th Grade Students
- The Harmonic Series: Infinite Growth and Mathematical Impact
- How to Ace the GED Math Formulas
- Top 10 3rd Grade NYSE Math Practice Questions
- The Importance Of Mathematics For Students Pursuing STEM
- Tips for Making Math Study Sessions More Productive
- Top 10 7th Grade NYSE Math Practice Questions
- How to Understand Co-Function, Even-Odd, and Periodicity Identities in Trigonometry
What people say about "Geometry Puzzle – Challenge 71 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.