Respuesta :
You have to use least common multiple so that's going to be
4-8-12-16-20
10-20
The 20th person gets both first
4-8-12-16-20
10-20
The 20th person gets both first
Answer:
The [tex]20^{th}[/tex] visitor will get both a bumper sticker and free key chain.
Step-by-step explanation:
We are given the following information in the question:
Every [tex]4^{th}[/tex] visitor gets a bumper ticket in the museum.
Also, every [tex]10^{th}[/tex] visitor gets a free key chain.
We have to find a visitor that will get both the bumper ticket and the free key chain.
This can be done by finding Lowest common multiple(LCM) of 4 and 10.
Lowest common multiple of 4 and 10 is smallest possible number that is divisible by both 4 and 10.
We can do this with the help of prime factorization.
[tex]4 = 2\times 2[/tex]
[tex]10 = 2\times 5[/tex]
[tex]\bold{LCM} = 2\times 2\times 5 = 20[/tex]
Hence, the [tex]20^{th}[/tex] visitor will get both a bumper sticker and free key chain.
