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

Based on their weekly plans, how many weeks will it take for Sophie to have completed as many missions as Pete?

Answer :

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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