The manager turns the restaurants two neon signs on at the same time both signs blink as theyaare turned on. One sign blinks every 9 seconds and one sign blinks every firfteen seconds. How many seconds will they both blink together again?
What is the least common multiple of 9 and 15?
54 seconds
SO, WHAT IS THE ANSWER AND I DO I GET THE ANSWER?
15 seconds
the common multiple of 9 and 15 is 90
To find the interval at which both signs blink together again, you need to determine the least common multiple (LCM) of 9 seconds and 15 seconds. The LCM is the smallest multiple that two or more numbers have in common.
Here's how you can calculate it:
Step 1: List the multiples of each number until you find a common multiple:
Multiples of 9: 9, 18, 27, 36, 45, 54, ...
Multiples of 15: 15, 30, 45, 60, ...
Step 2: Identify the first common multiple in both lists. In this case, it is 45 seconds.
Therefore, the two neon signs will blink together again after 45 seconds.