A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector's edition games, c, that were ordered?
Correct answer: A. 75 - s = c20s + 30c = 1,870
- A. 75 - s = c20s + 30c = 1,870
- B. 75 - s = c30s + 20c = 1,870
- C. s - c = 7525(s + c) = 1,870
- D. s - c = 7530s + 20c = 1,870
Explanation
Choice A is correct because it correctly sets up the system of equations based on the information provided. The equation 75 − s = c represents the total number of games ordered, and the equation 20s + 30c = 1,870 represents the total volume of the order. The other options either incorrectly swap the volumes for standard and collector's editions or make assumptions that do not align with the given scenario.
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