Steven goes to a game store. He purchases a new game system for $120, which includes a game console and 2 remotes. He pays $82 for the game console and saw that the 2 remotes are equally priced. How much do each of the remotes cost? Show all of your work.

Question

Mathematics

Arielle Bradshaw

17 February, 12:58

Steven goes to a game store. He purchases a new game system for $120, which includes a game console and 2 remotes. He pays $82 for the game console and saw that the 2 remotes are equally priced. How much do each of the remotes cost? Show all of your work.

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Answers (1)

Know the Answer?

Reagan Short · Answer 1

Each remote is $19

Step-by-step explanation:

total price paid = console price + 2 * remote price

substitute what we know

120 = 82 + 2 R where R = remote price

subtract 82 from each side

120-82 = 82+2R - 82

38=2R

divide each side by 2

38/2 = 2R/2

19 = R

Each remote is $19