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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?

Respuesta :

MrRoyal

Answer:

Seat number 140 gets all three treats

Step-by-step explanation:

Given

[tex]Twizzlers = Multiples\ of\ 4[/tex]

[tex]Nachos = Multiples\ of\ 7[/tex]

[tex]Popcorn = Multiples\ of\ 10[/tex]

Required

Determine first person to get all kinds of treats

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

[tex]4 = 1 * 2 * 2[/tex]

[tex]7 = 1 * 7[/tex]

[tex]10 = 1 * 2 * 5[/tex]

[tex]L.C.M = 1 * 2 * 2 * 7 * 5[/tex]

[tex]L.C.M = 140[/tex]

Seat number 140 gets all three treats

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