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# Gabrielle bought 20 marbles for her project. they are of two colors: blue and yellow, with more yellow than blue. the gcf of the two sets of marbles is 4. how many yellow marbles are there?

• Réponse publiée par: hajuyanadoy
The least possible number of yellow marbles is 12 while the maximum possible number is 16.

Step-by-step explanation:

Total marbles: 20

Conditions:

The are more yellow than blue.The GCF is 4.

The numbers less than 20 with greatest common factor (GCF) of 4 or multiple of 4 are:

4, 8, 12, 16

Pick two possible combinations of multiples of 4 whose sum is 20 and there are more yellow than blue:

16 yellow and 4 blue   ⇒  16 + 4 = 2012 yellow and 8 blue  ⇒  12 + 8 = 20The least possible number of yellow marbles is 12 while the maximum possible number is 16.
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Gabrielle bought 20 marbles for her project. they are of two colors: blue and yellow, with more yel...