Question

A store is giving away a $10 dollar coupon to every 7th person to enter the store and a $25 coupon to every 18th person to enter the store. Which person will be the first to get both coupons?

Answer 1

A store is giving away a $10 dollar coupon to every 7th person to enter the store and a $25 coupon to every 18th person to enter the store.

To find the first person to get both coupons, you have to find the LCM of 7 and 18. First list the multiples of each number.

7 - 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133

18 - 18, 36, 54, 72, 90, 108, 126, 144

The common multiples are bold. The 126th person will be the first to get both coupons.