Answer:
Both sets of lights blink at the same in one minute 5 times.
12, 24, 36, 48 and 60 seconds.
Step-by-step explanation:
A red string of holiday lights blinks once every 3 seconds.A string of blue lights blinks once every 4 seconds. We need to fin the time in which they will blink at the same time. We need to calculate the Least Common Multiple (LCM) of both numbers 4 and 3.We can write the numbers as the multiplication of prime numbers
4 = 2*2
3 = 3*1
As we do not have common primer numbers, the LCM will be the multiplication of all. LCM is 12, so the least time common will be 12.
LCM = 2*2*3*1 = 12.
We have one minute, it means from 1 second to 60 seconds. We can find the multiples of 12 in that period:
1*12=12
2*12 = 24
3*12 =36
4*12 = 48
5*12 = 60
Finally, we can conclude that Both sets of lights blink at the same in one minute 5 times. 12, 24, 36, 48, and 60 seconds.
