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Kerr is going to pack 9 baby carrots, 12 crackers and 18 grapes into lunch boxes . How many of each food item will there be in a lunch box if she packs the items into the greatest number of indentical lunch boxes

Sagot :

MrRoyalidn

Answer:

3 baby carrots, 4 crackers and 6 grapes

Step-by-step explanation:

Given

[tex]Baby\ Carrots = 9[/tex]

[tex]Crackers = 12[/tex]

[tex]Grapes = 18[/tex]

Required

Determine the number of each food item in a lunch box

First we need to get the number of lunch boxes by calculating the GCF of 9, 12 and 18

[tex]9 = 3 * 3[/tex]

[tex]12 = 2 * 2 * 3[/tex]

[tex]18 = 2 * 3 * 3[/tex]

The GCF is:

[tex]GCF = 3[/tex]

This implies that the number of lunch boxes is 3.

If there are 3 lunch boxes:

  • 3 baby carrots will go into each lunch box because 3 * 3 = 9
  • 4 crackers will go into each lunch box because 4 * 3 = 12
  • 6 grapes will go into each lunch box because 6 * 3 = 18
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