Question

Which pair of measurements is not equivalent?

4 lb., 64 oz.
3 tons, 6,000 lb.
108 oz., 8 lb.
10,000 lb., 5 tons

Answer 1

The pair of measurements that is not equivalent is 108 oz. and 8 lb., because 108 oz. is less than the equivalent amount of ounces in 8 lb., which is 128 oz.

Step-by-step explanation:

The question asks which pair of measurements is not equivalent. To solve this, we need to understand and use the customary units of weight, which are ounces (oz), pounds (lb), and tons. The equivalencies are crucial here:

• 1 pound = 16 ounces
• 1 ton = 2,000 pounds

Now let's check each pair of measurements:

• 4 lb. is equal to 64 oz. because 4 lb. × 16 oz./lb. = 64 oz.
• 3 tons is equal to 6,000 lb. because 3 tons × 2,000 lb./ton = 6,000 lb.
• 108 oz. is not equal to 8 lb. because 8 lb. × 16 oz./lb. = 128 oz., not 108 oz.
• 10,000 lb. is equal to 5 tons because 5 tons × 2,000 lb./ton = 10,000 lb.

The pair of measurements that is not equivalent is therefore 108 oz. and 8 lb., as 108 oz. is less than 128 oz.

Answer 2

If you would like to know which pair of measurements is not equivalent, you can calculate this using the following steps:

1 lb = 16 oz
1 ton = 2,000 lb

4 lb = 4 * 16 oz = 64 oz
3 tons = 3 * 2,000 lb = 6,000 lb
8 lb = 8 * 16 oz = 128 oz
5 tons = 5 * 2,000 lb = 10,000 lb

Not equivalent: 108 oz., 8 lb.