Pete and his sister, Sophie, play the game Space Mission Commander on their video game console. Pete has already completed 27 missions. Sophie has only completed 13 missions. From now on, Pete plans to complete 3 missions per week. Meanwhile, Sophie plans to complete 5 missions per week.

Step-by-step explanation:

Pete has already completed 27 missions. Pete plans to complete 3 missions per week

Let x represents weeks

Games completed = 3x + 27

Sophie has only completed 13 missions. Sophie plans to complete 5 missions per week.

Games completed = 5x + 13

3x + 27 = 5x + 13

27 - 13 = 5x - 3x

2x = 14

x = 7

By the seventh week, they would have completed equal number of games,

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