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The Kickers Soccer team has 3,672 tickets to sell for a soccer match. They want to split the tickets equally into at least 4, but less than 10 ticket booths. How many ticket booths could they split them into without having any left over? Please explain your answer.

User Granicus
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1 Answer

3 votes

Answer:

we have 4 options that can be chosen

Explanation:

Given that the total number of tickets: 3,672

They want to split the tickets equally into at least 4, but less than 10 ticket booths without having any left over, it means that we need to find the factors of total number of tickets, which is 3672.

The two factors are the number of booths (x) and the number of tickets in each booth y = (3672/x)

We have a domain for the number of booths from 4, but less than 10

<=> 4 ≤x≤10 and x&y are whole positive numbers.

When

  • x = 4, y =3672/4 = 918
  • x = 5, y = 3672/5 = 374,4
  • x = 6, y = 3672/6 = 612
  • x= 7, y = 3672/7
  • x = 8, y = 3672/8 = 459
  • x = 9, y = 3672/9 = 409
  • x= 10, y = 3672/10 = 367,2

So we have 4 options that can be chosen

User Mark Qian
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