ASVAB (Armed Services Vocational Aptitude Battery)Mathematics Knowledge (MK)Medium
A cargo plane is loaded with 12 crates, each weighing 1/3 of a ton. If the plane also carries a vehicle weighing 2 and 1/2 tons, what is the total weight of the cargo in tons?
- A7 and 1/2 tons
- B4 and 1/2 tons
- C6 and 1/2 tons
- D8 and 1/2 tons
Show answer & explanationAnswer & explanation
Correct answer: C. 6 and 1/2 tons
First, calculate the total weight of the crates: 12 crates * (1/3 ton/crate) = 4 tons. Then, add the weight of the vehicle: 4 tons + 2 and 1/2 tons = 6 and 1/2 tons.
Why the other options are wrong
- A. Possible error in calculating crate weight (e.g., 12/2 instead of 12/3).
- B. Error in adding the vehicle's weight or calculating crate weight.
- D. Significant calculation error.
Adding Mixed Numbers and Fractions
To add mixed numbers and fractions, convert mixed numbers to improper fractions or add the whole numbers and fractions separately, finding a common denominator for the fractional parts.
- Convert mixed numbers to improper fractions for easier multiplication/division.
- Find a common denominator to add or subtract fractions.
- Simplify the final fraction if possible.
Memory trick: First, count the 'C'rates, then 'A'dd the 'V'ehicle.