Question

a red string of holiday lights blinks once every 3 seconds while a string of blue lights blinks once every 4 seconds. how many times will both sets of lights blink at the same time in one minute?

Answer 1

Ince at 12 seconds,24 seconds,36 seconds,48 seconds and again at 60 seconds. For a total of 5 times

Answer 2

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.