Geometry Puzzle – Challenge 71
This is a fun and engaging math puzzle to challenge even the smartest students and help them develop logic skills. For additional educational resources, . For additional educational resources
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: $27.99.$17.99Current price is: $17.99.
Related to This Article
More math articles
- How to Create a Proportion? (+FREE Worksheet!)
- How to Master Decimals: From Words to Numbers!
- Full-Length 6th Grade PSSA Math Practice Test
- Metric Units
- How to Identify Expressions and Equations?
- How to Find Complementary, Supplementary, Vertical, Adjacent, and Congruent Angles?
- How to Master the Road to Achievement: “Praxis Core Math for Beginners” Comprehensive Answer Guide”
- How to Prepare for the TABE Math Test?
- ATI TEAS 7 Math FREE Sample Practice Questions
- Overview of the TASC Mathematics Test
What people say about "Geometry Puzzle – Challenge 71 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.