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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 system of equations can be used to determine the number of standard edition games, s, and collector's edition games, c, that were ordered?


A) 75 − s = c
20s + 30c = 1,870
B) 75 + s = c
20s + 30c = 1,870
C) s − c = 75
25(s + c) = 1,870
D) s − c = 75
30s + 20c = 1,870

Respuesta :

Poltergeist

Answer:

A) 75 − s = c

20s + 30c = 1,870

Step-by-step explanation:

Let us call [tex]s[/tex] the number of standard edition games and [tex]c[/tex] the number of collectors edition games.

Each standard edition game has volume of 20 in³ and each collectors edition game has volume of 30 in³, together the shipping volume is 1870 in³; therefore,

[tex]20s+30c = 1870[/tex].

Also, the company receives a total of 75 copies of the game, which means

[tex]s+c =75.[/tex]

Thus, the system of equations representing the describing the situation are

[tex]20s+30c = 1870[/tex]

[tex]s+c =75,[/tex]

which from the given choices, matches choice A. ([tex]75-s=c[/tex] can be rewritten as [tex]s+c =75[/tex])

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