Question

Seats in a movie theater are numbered 1-500, and the manager is handing out snacks during the movie. Every person whose seat is a multiple of 4 gets Twizzlers. Every person whose seat is a multiple of 7 gets nachos, and every person in a seat that is a multiple of 10 gets popcorn. The person in which seat number is the first to get all 3 treats?

Answer 1

Seat number 140 gets all three treats

Explanation:

Given

`Twizzlers = Multiples\ of\ 4`

`Nachos = Multiples\ of\ 7`

`Popcorn = Multiples\ of\ 10`

Required

Determine first person to get all kinds of treats

To do this, we simply need to determine the LCM of the given multiples:

`4 = 1 * 2 * 2`

`7 = 1 * 7`

`10 = 1 * 2 * 5`

`L.C.M = 1 * 2 * 2 * 7 * 5`

`L.C.M = 140`

Seat number 140 gets all three treats