a paper company needs to ship paper to a large printing business. the paper will be shipped in small boxes…

a paper company needs to ship paper to a 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 cubic 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 used to determine the number of small boxes shipped and the number of large boxes shipped. define the variables that you use to write the system.\nanswer attempt 1 out of 2\nlet \nlet \nsystem of equations:

a paper company needs to ship paper to a 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 cubic 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 used to determine the number of small boxes shipped and the number of large boxes shipped. define the variables that you use to write the system.\nanswer attempt 1 out of 2\nlet \nlet \nsystem of equations:

Answer

Explanation:

Step1: Define the variables

Let $x$ be the number of small boxes and $y$ be the number of large boxes.

Step2: Set up the equation for the total number of boxes

The total number of boxes is 21. So, $x + y=21$.

Step3: Set up the equation for the total volume

The volume of each small box is 7 cubic - feet and of each large box is 14 cubic - feet, and the total volume is 252 cubic - feet. So, $7x + 14y=252$.

Answer:

Let $x$ = the number of small boxes. Let $y$ = the number of large boxes. System of Equations: $x + y = 21$ $7x+14y = 252$