Question

Ammar loves video games. He plays at least 1 game every day, but he doesn’t play more
than a combined total of 5 games in any 2 consecutive days. At most how many games
can he play in 7 days?

answer correctly in 10 minutes for 17 pts plz

Answer 1

every day at least one game so 7 days contribute to 7 games.

Now total 5 games in 2 consecutive days,i.e., 3+2 or 2+3 in those 2 days.

for 7 days, 6 days contribute 3 pairs of 2 consecutive days so 3×5=15 games in 6 days.

now on 7th day he can play either 2 games or 3 games so for most taking 3 games.

Therefore total number of games=15+3=18 games in 7 days.