One day, David hands out flyers to 7 people. The next day, each person copies the flyer and hands them out to 7 people. The following day, these people copy their flyer and hand them out to 7 people.

How many people now have flyers?

1 answer

To solve this problem, we can visualize how the flyers are handed out each day and calculate the total number of people who receive the flyers cumulatively.

  1. Day 1: David hands out the flyers to 7 people.

    • Total people having flyers at the end of day 1: \( 7 \)
  2. Day 2: Each of the 7 people hands out the flyers to 7 new people.

    • Number of new people receiving flyers = \( 7 \times 7 = 49 \)
    • Total people having flyers by the end of day 2: \( 7 + 49 = 56 \)
  3. Day 3: Each of the 49 new recipients hands out the flyers to 7 more people.

    • Number of new people receiving flyers = \( 49 \times 7 = 343 \)
    • Total people having flyers by the end of day 3: \( 56 + 343 = 399 \)

Therefore, the total number of people who have received flyers by the end of day 3 is \( \boxed{399} \).