Question

After every eighth visit to a restaurant you receive a free beverage.After every tenth visit you will receive free appetizer. If you visit the restaurant 100 times, on witch visit will you receive a free beverage and a free appetizer?

Answer 1

80

Explanation:

Answer 2

40th and 80th visit

Explanation:

There are 100/8 = 12 eighth and 100/10 = 10 tenth visits within 100

LCM of 8 and 10 is 40

• 8 = 2*4, 10 = 2*5 ⇒ LCM(8,10) = 2*4*5 = 40

There are two 40's in 100, so this is the number of chances to get both free beverage and free appetizer.

The answer is on visit number 40 and on visit number 80