Question

For the opening game of the IPL season, the Mumbai
Indians offered the following incentives to its fans:
Every 75th fan who entered the stadium got a coupon for
free sandwich.
Every 30th fan who entered the stadium got a coupon for
free cake.
Every 50th fan who entered the stadium got a coupon for
free popcorn.
The stadium holds 4000 fans and was completely full for
this game. How many fans were lucky enough to receive
all three free items?​

Answer 1

Answer:

26 fans

Step-by-step explanation:

To find how many fans were lucky enough to receive all three free items, we need to find which is least multiple to get these 3 items. So we need to find LCM of 75, 30 and 50

LCM of 75, 30 and 50 = 150

150 is the least number which is divisible by 75, 30 and 50.

so, among 4000 fans (given stadium is full),

4000/150 ≈ 26 fans will get all 3 items