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tatuchka [14]
2 years ago
9

Aimee has 20 apples and wants to have the same amount of apples in each bag but ends up with more than one bag of apples and eac

h bag to contain more than one apple
work out all the possibilities for all of the number of apples that she could use for each bag
Mathematics
1 answer:
vovikov84 [41]2 years ago
6 0

Answer:

  • There are 4 possibilities: 2, 4, 5 or 10 apples in each bag.

===========

Let the number of apples in each bag is x, then the number of bags is 20/x.

Since the number of apples in each bag is greater than one and number of bags is greater than one, we have the following conditions:

  • x > 1 ,
  • 20/x > 1 ⇒ x < 20,
  • x is factor of 20.

The factors of 20 between 1 and 20 are:

  • 2, 4, 5, 10

The possibilities are:

  1. If x = 2, then the number of bags is 20/2 = 10;
  2. If x = 4, then the number of bags is 20/4 = 5;
  3. If x = 5, then the number of bags is 20/5 = 4;
  4. If x = 10, then the number of bags is 20/10 = 2.

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