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A new zoo is coming to your city and they want to give away prizes. Every 4th customer will receive a panda hat, every 10th customer will receive a giraffe beach towel and every 20th customer will receive a stuffed gorilla. Out of the first 100 people to enter the zoo how many will get all three items?

User Bisca
by
4.8k points

1 Answer

7 votes

Answer:

5 people

Explanation:

Let's find LCM of 4, 10 and 20:

  • 4 = 2*2
  • 10 = 2*5
  • 20 = 2*2*5

LCM(4,10,20) =2*2*5 = 20

There are 100/20 = 5 twenties in 100

So every 20th person will get all 3 prizes, in total 5 people

User Kean Amaral
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5.1k points