Question

Caleb is having a party and wants to hand out door prizes. Every 5th
person to arrive will receive a sticker, and every 8th
person will receive a t-shirt.
Which guest will be the first to receive both a sticker and a t-shirt?
Complete the statements.
To solve this problem, find the
.
The first person to receive both door prizes is the
person.

Answer 1

To solve the problem, we need to find the least common multiple (LCM) of the numbers 5 and 8. This is because every 5th person gets a sticker, and every 8th person gets a t-shirt. The first person to receive both a sticker and a t-shirt will be the LCM of these two numbers.

Let's proceed with finding the LCM:

1. List the multiples of 5:
- 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ...

2. List the multiples of 8:
- 8, 16, 24, 32, 40, 48, 56, 64, ...

3. The smallest common multiple from both lists is 40.

Thus, the first person to receive both a sticker and a t-shirt is the 40th person.

To complete the statements:
To solve this problem, find the **least common multiple (LCM)**.
The first person to receive both door prizes is the **40th** person.