Answer:
24th Customer is the first to get two gift certificates.
Step-by-step explanation:
Given:
Every 6th person = $10
Every 8th person = $50
We need to find which customer is the first to get two gift certificates.
Solution:
Now we can say that;
The person would get both the 2 certificates must be both 6 as well as 8 customer from the last one receiving the gift card respectively.
So to find which customer is the first to get two gift certificates we will find the Least Common Multiples of the 6 and 8.
To find Least Common multiple of 6 and 8 we will find multiples of the numbers,
Multiples of 8 and 6
[tex]8=2\times2\times2\\\\6=2\times3[/tex]
Now LCM of 8 and 6 = [tex]2\times2\times2\times3= 24[/tex]
Hence we can say 24th Customer is the first to get two gift certificates.
Answer:
The 24th Customer is the first to get two gift certificates.
Since, 2 x 2 x 2 x 2 x 3 = 24
