Systems of Equations application problem

I'm not sure how to even begin to solve this:

You have boxes of five types. They are characterized by their length http://webwork1.math.utah.edu/webwor...6819fae171.png, their width http://webwork1.math.utah.edu/webwor...e5b96d4b01.png, their height http://webwork1.math.utah.edu/webwor...6137056b01.png, their age http://webwork1.math.utah.edu/webwor...0fcdd79cd1.png, and their price http://webwork1.math.utah.edu/webwor...8d5ec3a3b1.png, as given in the following table:

So for example, boxes of type IV measure 1 by 2 by 4 feet, are a year old, and cost $ 2.- each. Suppose the sum of the lengths of your boxes is 30, the sum of their widths 49, the sum of their heights 87, the sum of their ages 40, and the total price of those boxes 55.

You have

boxes of type I_____

boxes of type II_____

boxes of type III_____

boxes of type IV_____

boxes of type V______

Do the numbers corresponding to the length, height, width, sum and price go on the right hand side of the system, and then just solve?

e.g.1 1 1 1 1 = 30

1 1 2 3 2 = 49

1 2 3 2 2 = 87

1 2 4 1 2 = 40

1 2 3 1 3 = 55