Question

To celebrate the first day of winter, Lin was putting stickers on some of the lockers. There are 100 lockers along one side of her middle school's hallway she puts a snowflake sticker on every 6th locker and a snowman sticker on every 8th locker. What locker number are they on?

I NEED THE ANSWER ASAP

Answer 1

24, 48, 72, 96

Explanation:

Least Common Multiple (LCM)

It's the smallest positive number that is a multiple of two or more numbers. For example, let's find the LCM of 15 and 25:

Multiples of 15: 15,30,45,60,75,90,...

Multiples of 25: 25,50,75,100,...

Note 75 is a common multiple of both and is also the smallest possible.

Lin puts a snowflake sticker every 6 lockers and a snowman sticker every 8 lockers. To find the lockers where both stickers are places, we must find the LCM of 6 and 8:

6 = 2*3

8 = 2*2*2

Multiplying the common factors the maximum number of times it appears:

LCM = 2*2*2*3 = 24

Thus, every 24 lockers there are two stickers until Lin reaches the last 100th locker along the halfway.

The sequence of lockers is:

24, 48, 72, 96