At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. on monday 3,000 customers came to the theater. how many people received both free items?

20 people

Step-by-step explanation:

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer.

On Monday, 3,000 customers came to the theater.

To find the number of people who got both free items, we will calculate the Least common Multiple (LCM) of 30 and 75.

LCM of 30, 75

= 5 × 3 × 5 × 2

= 150

Each 150th customer will receive both free items.

Total number of people who receive both free items = 3000 ÷ 150

                                                                                        = 20 people

On Monday 20 people will receive both free items.