A military transport aircraft has a maximum cargo capacity of 15,000 \text{ kilograms}. Th… — Armed Services Vocational Aptitude Battery (ASVAB)

A military transport aircraft has a maximum cargo capacity of $15,000 \text{ kilograms}$ . The aircraft is currently loaded with $19,800 \text{ pounds}$ of equipment. If $1 \text{ kilogram}$ is equal to $2.2 \text{ pounds}$ , how much additional cargo, in kilograms, can the aircraft carry?

Answer: 6000 kg

Answer

6000

The remaining capacity is found by first standardizing all measurements to kilograms (

19,800 \text{ pounds} \div 2.2 = 9,000 \text{ kilograms}

), and then subtracting this from the total allowance (

15,000 \text{ kg} - 9,000 \text{ kg} = 6,000 \text{ kg}

Step-by-Step Solution

Convert the current load from pounds to kilograms.

19,800 \div 2.2 = 9,000 \text{ kg}

Since the maximum capacity is given in kilograms and the final answer must be in kilograms, the current load must be converted to the metric system.

Subtract the current load from the maximum cargo capacity.

15,000 - 9,000 = 6,000 \text{ kg}

Subtracting the weight already on board from the maximum allowable weight gives the remaining available capacity.

Key Concept

Converting units between the US Customary and metric systems using a given conversion factor, followed by basic arithmetic subtraction.

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