Answer:
120th customer will be the first one get all the three items.
Step-by-step explanation:
Given that:
Every 8th customer gets a free appetizer.
Every 12th customer gets a free beverage.
Every 15th customer gets a free fish of yogurt.
To find:
The first customer to receive all the three items.
Solution:
Here, we need to find nothing but the Least Common Multiple of the given three numbers 8, 12 and 15 to find the first person who will get all three free items.
Let us use factors of each number:
[tex]8 = 2\times 2\times 2\\12 = 2\times 2\times 3\\15 = 3\times 5[/tex]
The LCM will be:
[tex]2\times 2\times 2 \times 3 \times 5 = \bold{120}[/tex]
Therefore, the answer is:
120th customer will be the first one get all the three items.
