A scrap metal recycling facility is preparing four different compacted bales of aluminum f… — Armed Services Vocational Aptitude Battery (ASVAB)

A scrap metal recycling facility is preparing four different compacted bales of aluminum for transport. Arrange the following bales in order from the lightest to the heaviest weight.

1A bale weighing $38,400$ ounces
2A bale weighing $2,450$ pounds
3A bale weighing $1.25$ tons
4A bale weighing $1$ ton and $600$ pounds

Answer

The correct order from lightest to heaviest is: the

38,400

-ounce bale, the

2,450

-pound bale, the

1.25

-ton bale, and the

1

-ton and

600

-pound bale.

By converting all weights to a single common unit (pounds), we find the sequence is

2,400

lbs,

2,450

lbs,

2,500

lbs, and

2,600

lbs. This establishes the correct order from lightest to heaviest.

Step-by-Step Solution

Convert the weight of the

38,400

-ounce bale to pounds.

38,400 \div 16 = 2,400

pounds.

Since there are

16

ounces in a pound, dividing the total ounces by

16

converts the weight to pounds, providing a common unit for comparison.

Evaluate the weight of the second bale.

The weight is already provided in pounds:

2,450

pounds.

No conversion is necessary for this item.

Convert the weight of the

1.25

-ton bale to pounds.

1.25 \times 2,000 = 2,500

pounds.

Since there are

2,000

pounds in a US short ton, multiplying the ton value by

2,000

gives the weight in pounds.

Convert the weight of the mixed-unit bale (

1

ton and

600

pounds) to pounds.

1 \times 2,000 = 2,000

pounds. Adding the extra

600

pounds results in

2,000 + 600 = 2,600

pounds.

Convert the ton portion to pounds first, then add the remaining pounds to find the total.

Compare all four weights in pounds and sequence them from lightest to heaviest.

2,400

lbs

<

2,450

lbs

<

2,500

lbs

<

2,600

lbs.

Ordering the standardized numerical values determines the correct sequence of the items.

Key Concept

Converting between ounces, pounds, and US short tons to compare varying weights.

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