A crate of oranges weighs 9 kg and is 3/4 full. Write and simplify a unit rate that represents the weight of 1 full orange crate.

Question

I need a little help with this problem. Can anybody help me?

Answer 1

A "unit rate" means "how much of this for one of that?"

 

In this problem, you have:

     9 kg for 3/4 crate

  which is:

     9 kg per 3/4 crate

  which is:

     (9 kg) / (3/4 crate)

 

      (9)/(3/4) kg/crate

       9*(4/3) kg/crate      [to divide by fraction, invert and multiply]

        12 kg/crate

 

which means:

        (12 kg) / (1crate)

   which is:

         12 kg per crate

Answer 2

Since a crate of oranges is 9kg but is only 3/4 full, you can set up a ratio that 9/x = 3/4 to solve for x which equals 12.