Question

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.

Answer 1

So,

a.
Let
1. Alison be "a"
2. Kyle be "k"
3. 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.