A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds of fruit.What fraction of the total pounds of fruit and vegetables do the pounds of fruits represent?

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09-12-2016
Mathematics

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A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds of fruit.What fraction of the total pounds of fruit and vegetables do the pounds of fruits represent?

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Answer: The fraction of pounds of fruits over total pounds of fruits and vegetables is given by

[tex]\frac{25125}{66724}[/tex]

Step-by-step explanation:

Since we have given that

Total amount of vegetables = 208 pounds

Total amount of fruits is given by

[tex]125\frac{5}{8}\text{ pounds}[/tex]

Total amount of fruits and vegetables is given by

[tex]208+125\frac{5}{8}\\\\=208+\frac{1005}{8}\\\\=\frac{1664+1005}{8}\\\\=\frac{2669}{8}\\\\=333.625\text{ pounds }[/tex]

So, we need to find the fraction of pounds of fruits over the total pounds of fruit and vegetables :

[tex]\frac{\text{Pounds of fruits }}{\text{ total pounds of fruits and vegetables}}\\\\=\frac{\frac{1005}{8}}{333.62}\\\\=\frac{1005}{8\times 333.62}\\\\=\frac{1005}{2668.96}=\frac{25125}{66724}[/tex]