Emma has 5637⁄40 bags of dog food to feed all of the dogs at the animal shelter. The dogs each eat 81⁄4 bags of food per week. How many weeks' worth of dog food does Emma have? A. 63⁄10 B. 71⁄10 C. 637⁄160 D. 69⁄10

Respuesta :

Answer:

option D : 69/10

Step-by-step explanation:

Emma has  [tex]56 \frac{37}{40}[/tex] bags of dog food to feed all of the dogs at the animal shelter.

[tex]56 \frac{37}{40}=\frac{2240+37}{40}=\frac{2277}{40}[/tex]

The dogs each eat 81⁄4 bags of food per week.

[tex]8 \frac{1}{4}=\frac{32+1}{4}=\frac{33}{4}[/tex]

Number of weeks worth food Emma have =

Number of bags Emma has / number of bags dogs eat

Number of weeks worth food Emma have =[tex]\frac{\frac{2277}{40}}{\frac{33}{4}}[/tex]

= [tex]\frac{2277}{40}}*{\frac{4}{33}= \frac{2277}{10* 33} = \frac{69}{10}[/tex]

Number of weeks worth food Emma have = 69/10