At a party, every seventh guest gets a mug and every tenth guest gets a wallet. What is the position of the first guest that will get both a mug and a wallet?
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Multiples of 10: 10, 20, 30, 40, 50, 60, 70
Position of first guest that gets both a mug and wallet
= Lowest common multiple of 7 and 10
= 70
Answer(s): 70