Question

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 25 pounds, and each large box of paper weighs 50 pounds. A total of 22 boxes of paper were shipped weighing 925 pounds all together. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped.

Part 1: Let __ = (6 options) the number of small boxes shipped, the number of large boxes shipped, the volume of each small box, the volume of each large box, the weight of each small box, the weight of each large box.

Part 2: Let __ = (6 options) the number of small boxes shipped, the number of large boxes shipped, the volume of each small box, the volume of each large box, the weight of each small box, the weight of each large box.
a) Weight of each small box, Weight of each large box
b) Number of small boxes shipped, Number of large boxes shipped
c) Volume of each small box, Volume of each large box
d) Number of small boxes shipped, Volume of each large box

Answer 1

To find the number of small and large boxes shipped, we let x represent the number of small boxes and y represent the number of large boxes. We set up a system of equations using the total number of boxes (x + y = 22) and the total weight of the boxes (25x + 50y = 925). This system can be solved to get the required quantities.

Step-by-step explanation:

In order to determine the number of small boxes shipped and the number of large boxes shipped by a paper company to a large printing business, two variables representing these quantities need to be defined. Let us define:

• Let x = the number of small boxes shipped
• Let y = the number of large boxes shipped

With these variables, we can formulate a system of equations based on the given information that each small box weighs 25 pounds and each large box weighs 50 pounds, and the total number of boxes shipped was 22 weighing 925 pounds altogether. The system of equations would be:

1. x + y = 22 (Equation representing the total number of boxes shipped)
2. 25x + 50y = 925 (Equation representing the total weight of the shipped boxes)

These equations can now be used to solve for the variables x and y, which will give the desired number of small and large boxes shipped by the paper company.