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Math·Algebra·Linear equations in two variables

hard

A $9$-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?

A

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

B

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

C

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

D

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