Question

Please HELP IN 10 MINS!!!!!!!!!!!!!!!!!!!!Lisa, Melinda, and Rahul love the same board game. The game must

be played by at least two people. Lisa can play every two days,
Melinda can play every three days, and Rahul can play every four
days. Today, all three played 1 game together. What is the total
number of games they will play from Day 1 to Day 50 if today is
Day 1? (Exactly 1 game is played per day.)

Answer 1

Answer: 17

Explanation:

Lisa and Melinda will play together 8 times

Lisa and Rahul will play together 12 times

Melinda and Rahul will play together 4 times

So total games are 24 -- but they all will play together 4 times.

Since, "exactly 1 game is played per day", they cannot play 2 and 3 together at any day.

So total number will be: (8-4) + (12-4) + (4-4) = 12

Now, we must consider 4 where they played all 3 together; so total number: 12 + 4 = 16

Also, they already played 1 game at 1st day; so total number: 16 + 1 = 17

Answer 2

25 games were played

Explanation:

I first found how many games were played in 10 days

and then multiplied it by 5 to know how many games were played in 50 days

(but I am not sure if it is correct since it said that 1 game was played everyday and with rules I am not sure if it is even possible)

feel free to correct me