Answered

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A food bank is preparing for an upcoming storm by moving cases of water and food to nearby shelters for families
If there are 160 cases of food and 120 cases of water, and the food bank staff want to provide each family with the same amount of resources, how many families can they serve?

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Answer:

The food bank can serve 40 families when they are providing equal food resources.

Step-by-step explanation:

Give information:

Number of cases of food is 160.

Number of cases of water is 120.

Let, they are serving [tex]x[/tex] number of families with equal cases of food and water.

Also, each family gets [tex]a[/tex] food cases and [tex]b[/tex] water cases.

So, the total number of resources can be written as,

[tex]ax=160\\bx=120[/tex]

So, [tex]x[/tex] (number of families) is the HCF of the two numbers 160 and 120.

Thus, the value of [tex]x[/tex] can be calculated as,

[tex]\[160=40\times4\]\\\[120=40\times3\][/tex]

So, HCF of 160 and 120 is 40 which is equal to [tex]x[/tex].

Therefore, the food bank can serve 40 families with equal food resources which is 4 cases of food and 3 cases of water.

For more details, refer the link:

https://brainly.com/question/17240111?referrer=searchResults

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