Question

Mustafa’s horse ate 6,400 pounds of hay last year. How could Mustafa determine the number of tons of hay his horse ate last year?

Answer 1

Answer: 3.2 tons

Step-by-step explanation:

We know that 1 ton = 2000 pound

Then , $\text{1 pound}=\dfrac{1}{2000}\text{ ton}$

Given : Mustafa’s horse ate 6,400 pounds of hay last year.

Then, the number of tons of hay his horse ate last year is given by :-

$6400\times\dfrac{1}{2000}\ \ \text{ tons}\\\\=3.2 \text{ tons}$

Therefore, the  number of tons of hay his horse ate last year = 3.2 tons

Answer 2

Multiply by a relationship that cancels out the units you don't want and introduces units you do need for the answer....

6400lb(ton/2000lb)=3.2 tons

This is always the proper way to do dimensional analysis.  Always use unit labels to keep things clear, it may seem silly, but it really makes even the most complicated conversions quite clear and obvious.  Just remember that unit labels "cancel" out just like numbers and everything becomes quite easy.