A $9$-pound cat eats two types of canned cat food: chicken-flavored a…

Question

Prompt

9

-pound cat eats two types of canned cat food: chicken-flavored and duck-flavored. The recommended amount of chicken-flavored food is

2.25

cans per

8

pounds of a cat's weight per day. The recommended amount of duck-flavored food is

0.75

cans per

5

pounds of a cat's weight per day. If

c

is the number of chicken-flavored cans and

d

is the number of duck-flavored cans a

9

-pound cat eats in one day, which equation describes all the possible values of

c

and

d

for the cat to eat the recommended amount of food based on its weight?

\frac{0.75}{5} c + \frac{2.25}{8} d = 9

\frac{2.25}{8} c + \frac{0.75}{5} d = 9

\frac{5}{0.75} c + \frac{8}{2.25} d = 9

\frac{8}{2.25} c + \frac{5}{0.75} d = 9