Question

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

Answer 1

option D : 69/10

Explanation:

Emma has
`56 (37)/(40)` bags of dog food to feed all of the dogs at the animal shelter.

`56 (37)/(40)=(2240+37)/(40)=(2277)/(40)`

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

`8 (1)/(4)=(32+1)/(4)=(33)/(4)`

Number of weeks worth food Emma have =

Number of bags Emma has / number of bags dogs eat

Number of weeks worth food Emma have =
`((2277)/(40))/((33)/(4))`

=
`(2277)/(40)}*{(4)/(33)= (2277)/(10* 33) = (69)/(10)`

Number of weeks worth food Emma have = 69/10