Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds, how many times will they blink at the same time?
LCM(4,6) = 12
60/12 = 5 times
To find out how many times the two neon lights will blink at the same time in 60 seconds, we need to find the least common multiple (LCM) of 4 and 6. The LCM is the smallest number that is divisible by both 4 and 6.
First, let's find the multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60...
Now, let's find the multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60...
From the lists above, we can see that the LCM of 4 and 6 is 12. This means that the two neon lights will blink at the same time every 12 seconds.
Now, let's calculate how many times they will blink at the same time in 60 seconds. Since they blink at the same time every 12 seconds, we divide 60 by 12: 60 รท 12 = 5.
Therefore, the two neon lights will blink at the same time 5 times in 60 seconds.