Emma has 56 37/40 bags of dog food to feed all the dogs at the animal shelter. The dogs each eat 8 1/4 bags per week. How many weeks worth of dog food does emma have?

Respuesta :

Limosa

Answer:

Emma has dog food worth of 6 weeks 6 days.

Step-by-step explanation:

Lets take number of weeks the dogs can eat dog food as [tex]x[/tex].

Then,

Number of bags dogs eat per week * number of weeks = number of dog food

will give the number of weeks the dogs can eat the dog food.

Now we substitute the given values to the equation,

[tex]8\frac{1}{4}*x=56\frac{37}{40}[/tex]

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

[tex]\frac{330}{40} *x=\frac{2277}{40}[/tex]

[tex]330*x=2277[/tex]

[tex]x=\frac{2277}{330}[/tex]

[tex]6.9[/tex] weeks

Which mean she has dog food worth of 6 weeks 6 days.