Question

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 6 cubic feet and the volume of each large box is 15 cubic feet. there were 2 more small boxes shipped than large boxes and the total volume of all boxes was 243 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. answer attempt 2 out of 2 let = let = system of equations:

Explanation:

Step1: Define variables

Let $s$ = number of small boxes, $l$ = number of large boxes.

Step2: Relate box counts

Small boxes = large boxes + 2
$l + 2 = s$

Step3: Total volume equation

Volume from small + large = total
$6s + 15l = 243$

Answer:

Let $s$ = the number of small boxes shipped
Let $l$ = the number of large boxes shipped
System of Equations:
$l + 2 = s$
$6s + 15l = 243$