To celebrate the first day of winter, Lin was putting stickers on some of the lockers. There are 100 lockers along one side of h

Question

3 years ago

8

To celebrate the first day of winter, Lin was putting stickers on some of the lockers. There are 100 lockers along one side of h

er 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

Mathematics

1 answer:

loris [4] · Answer 1 · 2022-03-26T16:19:06+03:00

Answer:

Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

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