Question

Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase. How often will a bag contain both a T-shirt and socks? Items in the Gift Bag T-shirt Every 4th bag Socks Every 3rd bag

Answer 1

Every 12th bag

Explanation:

Given that:

Gift bag contains :

T - shirt = every 4th bag

Socks = Every 3rd bag

To obtain how often gift bag contains both T-shirt and socks , obtain the Lowest common multiple of 4 and 3

Multiples of :

4 : 4, 8, 12, 16, 20, 24,....

3 : 3, 6, 9, 12, 15, 18, 21, 24,....

Hence, the lowest common multiple of both 4 and 3 is 12.

The bag will contain both T-shirt and socks after every 12th bag