Question

Enzo and Beatrice are playing games at their local arcade incredibly ends wins five tickets from every game in the trees wins 11 tickets from every game when they stop playing games Enzo in the trees had won the same number of total tickets what is the minimum number of games that Enzo could have played

Answer 1

22 games

Explanation:

In order to find the minimum number of games that Enzo played we need to find the least common multiple of tickets where both Enzo and Beatrice are equal. To do this we simply find all the multiples of the number of games each could have played by the number of tickets per game until we find one in common.

5*1 = 5 11*1 = 11

5*2 = 10 11*2 = 22

5*3 = 15 11*3 = 33

5*4 = 20 11*4 = 44

5*5 = 25 11*5 = 55

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5*22 = 110 11*10 = 110

Finally, we can see that the minimum amount of games that Enzo needs to play in order for both Enzo and Beatrice to have the same amount of tickets is 22 games.