Answer:
Yes , the 160th customer receive both a water bottle and a t-shirt .
Explanation:
Given :
A sporting goods store gave a free t-shirt to every 8th customer for a promotional event .
Also, a sporting goods store gave a free water bottle to every 10th customer for a promotional event .
We need to find if the 160th customer receive both a water bottle and a t-shirt.
Here, we can see 160 is clearly divisible by 8 :

Also, 160 is divisible by 10 :

So, we can see that a sporting goods store gave a free water bottle to every 160th customer for a promotional event .
Also, a sporting goods store gave a free water bottle to every 160th customer for a promotional event .