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In Mathematics / Middle School | 2014-11-24

Alison has twice as many video games as Kyle. Maurice has 5 more video games than Alison. The total number of video games is less than 40.

a. Write an inequality to represent this situation.
b. Solve the inequality to determine the greatest number of video games Maurice could have.

Asked by Anonymous

Answer (2)

So,
a. Let

Alison be "a"
Kyle be "k"
Maurice be "m"

a = 2k m = a + 5 m = 2k + 5
40 > 5k + 5
35 > 5k 7 > k The relationship between k and m: m = 2k + 5 19 > m MAURICE CANNOT HAVE MORE THAN 19 VIDEO GAMES.

Answered by SchwarzschildRadius | 2024-06-10

The inequality representing the situation is 5 k + 5 < 40 , where k is the number of video games Kyle has. Upon solving, the greatest number of video games Maurice could have is 17. This occurs when Kyle has 6 video games, Alison has 12, and Maurice has 17.
;

Answered by SchwarzschildRadius | 2025-02-12

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