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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 45 pounds and each large box of paper weighs 75 pounds. there were 3 more small boxes shipped than large boxes and the total weight of all boxes was 1455 pounds. 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 1 out of 2 let = . let = . system of equations:
Step1: Define variables
Let $s$ = number of small boxes, $l$ = number of large boxes.
Step2: Relate box quantities
$3$ more small boxes than large: $s = l + 3$
Step3: Total weight equation
Weight from all boxes: $45s + 75l = 1455$
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Let $s$ = number of small boxes shipped
Let $l$ = number of large boxes shipped
System of Equations:
$s = l + 3$
$45s + 75l = 1455$