Question

Is 2 tons and 500 pounds equivalent to 2 1/4 tons?

Answer 1

Answer: Yes

Step-by-step explanation:

1 ton = 2000 pounds and 500 is 1/4 of 2000

Answer 2

Answer: Yes

Step-by-step explanation:

We know that 1 ton is 2000 pounds. We can use this fact to figure out if 500 pounds is equivalent to 1/4 tons. To do so, we can use a proportion.

$\frac{2000 pounds}{1 ton} =\frac{500pounds}{x}$

$2000x=500$

$x=\frac{500}{2000} =\frac{5}{20} =\frac{1}{4}$

Now, we know that 500 pounds is equivalent to 1/4 tons. Therefore, 2 tons and 500 pounds is equivalent to $2\frac{1}{4}$ tons.