127k views
3 votes
Item 5 You buy orange and black streamers for a party. The orange streamers are 9 feet long, and the black streamers are 12 feet long. What are the least numbers of streamers you should buy in order for the total length of the orange streamers to be the same as the total length of the black streamers?

User Dirus
by
5.1k points

1 Answer

4 votes

Answer:

36 streamers

Explanation:

The orange streamers are 9 feet long, and the black streamers are 12 feet long.

We have to find the Multiples of 9 and 12

Multiples of 9:

9, 18, 27, 36, 45, 54

Multiples of 12:

12, 24, 36, 48, 60

LCM(9, 12) = 36

The least common multiple which is the first common multiple is 36

Therefore, the least numbers of streamers you should buy in order for the total length of the orange streamers to be the same as the total length of the black streamers is 36 streamers.

User Purarue
by
4.9k points