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