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Josh is inviting his friends to a party. He has 42 granola bars and 56 fruit drinks, and he wants to give the same number of each item to each friend. He also wants to give all of the items to his friends. Drag and drop the numbers into the correct order that would fill in the blanks to describe how many friends Josh can invite.

Respuesta :

Answer:

The number of granola bars that Josh gave to each of his friend is 3

The number of fruit drinks that Josh gave to each of his friend is 4

Step-by-step explanation:

Given Number of granola bars with Josh is 42

Number of fruit drinks with Josh is 56

He wants to give the same number of each granola bars and fruit drinks to each friend.

To find the number of granola bars and fruit drinks Josh give to each friend:

First we have to find HCF of 42 and 56 .

[tex]42=2\times 3\times 7[/tex]

and [tex]56=2\times 2\times 2\times 7[/tex]

∴ HCF ( 42, 56 ) is 14

[tex]Number of granola bars that Josh gave to each of his friend =\frac{Number of granola bars with Josh}{HCF ( 42, 56 )}[/tex]

[tex]=\frac{42}{14}[/tex]

= 3

∴ Number of granola bars that Josh gave to each of his friend is 3

[tex]Number of fruit drinks that Josh gave to each of his friend =\frac{Number of fruit drinks with Josh}{HCF ( 42, 56 )}[/tex]

[tex]=\frac{56}{14}[/tex]

= 4

∴ Number of fruit drinks that Josh gave to each of his friend  is 4

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