A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.

Respuesta :

Answer:

He needs to buy 120 packages of dod food.

Step-by-step explanation:

b - bird food

h - hamster food

d - dog food

c - cat food

b + h + d + c = 600

b = h (bird food is the same as hamster food)

b = 4 d (bird food is 4 times dod food)

c = d/2 (cat food is half dog food)

Total of packages ordered.

b + b + d + c = 600

4d + 4d + d + d/2 = 600

4 d + 4 d + d + d = 600. 2

10 d = 1.200

d= 120 .........the amount of dog food packages.