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?
T shirt: Every fourth bag
Socks: Every third bag

Answer 1

Answer: Every 12th bag has both a T-shirt and socks.

Explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence, Every twelfth bag has both a T-shirt and socks.