Question

A paper company needs to ship paper to large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 7 cubic feet and the volume of each large box is 14 cubit feet. A total of 21 boxes of paper were shipped with a combined volume of 252 cubic feet. write a system of equations that could be determined the number of small boxes shipped in the number of large boxes shipped. Defined the variables that you use to write the system.

Answer 1

Answer: Let's use the variables x and y to represent the number of small boxes and large boxes shipped, respectively.

The system of equations that could be used to determine the number of each type of box is:

x + y = 21 (equation 1)

7x + 14y = 252 (equation 2)

In equation 1, the left side represents the total number of boxes shipped, which is the sum of the number of small boxes (x) and the number of large boxes (y). The right side of the equation represents the total number of boxes shipped, which is given as 21.

In equation 2, the left side represents the total volume of paper shipped, which is the sum of the volume of all the small boxes (7 cubic feet per box) and the volume of all the large boxes (14 cubic feet per box), multiplied by the number of boxes shipped. The right side of the equation represents the total volume of paper shipped, which is given as 252 cubic feet.

These two equations can be used to solve for x and y, which represent the number of small boxes and large boxes shipped, respectively.

Explanation: