During a promotional event a sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer which customer has the first to get a free t-shirt and a free water bottle

Given

During a promotional event  

A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.

Find out which customer has the first to get a free t-shirt and a free water bottle.

To proof

Definition of LCM ( Least common multiple )

The LCM of two numbers is the smallest number that they both divide evenly into.

As given in the equation

A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.

Let take 8 be as one number and 10 be as another number.

LCM ( 8,10 ) = 2× 2 ×2 ×5

= 40

Also  

A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.

This is shown in the table given below.  

As shown in the table the common value is 40.

Therefore  

The first to get a free t-shirt and a free water bottle is 40th customer.

Hence proved

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