Question

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?

Answer 1

Emma has dog food worth of 6 weeks 6 days.

Explanation:

Lets take number of weeks the dogs can eat dog food as
`x`.

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,

`8(1)/(4)*x=56(37)/(40)`

`(33)/(4) *x=(2277)/(40)`

`(330)/(40) *x=(2277)/(40)`

`330*x=2277`

`x=(2277)/(330)`

`6.9` weeks

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