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
1 answer:
Answer:
- There are 4 possibilities: 2, 4, 5 or 10 apples in each bag.
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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:
The possibilities are:
- If x = 2, then the number of bags is 20/2 = 10;
- If x = 4, then the number of bags is 20/4 = 5;
- If x = 5, then the number of bags is 20/5 = 4;
- If x = 10, then the number of bags is 20/10 = 2.
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