Ideally, the fuel inside model rocket motors is a black powder mixture that consists of
60%
charcoal,
30%
potassium nitrate, and
10%
sulfur by weight. At a factory that makes model rocket motors, the first shift of workers followed the recipe exactly as they were supposed to. The second shift did not and used
55%
charcoal,
33%
potassium nitrate and
12%
sulfur. When the two batches were mixed together, a chemical analysis shows that there are 110.2 pounds of charcoal in the mixture and 45.8 pounds of potassium nitrate. If the first shift produced
A
pounds of fuel and the second shift produced
B
pounds, set up a linear system in terms of
A
and
B
. How many pounds of fuel did the first shift produce and how many did the second shift produce? Under "Problem 4", paste the screenshot of the problem and the Sage coding box that you used to solve the problem. Type the system and the answer to the problem. When you have finished pasting all of your problems onto your Word document, save it, and then save again as a PDF. You will be submitting the PDF at the link below. I kind of know how to solve this problem but I am confused as to what will SAGE be solving and how to enter those into it, if someone could help me with this question it would be greatly appreciated.