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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.

(Hint: Create a table or an equation to help answer the question. There ARE two steps that need to be taken before arriving at your answer.
A.250
B.300
C.275
D.315

Respuesta :

bhuvna789456

Number of dog food packages bought by Byron is 300

Step-by-step explanation:

  • Step 1: Given number of bird food packages = b. Find the number of packages for the other animal foods.

Number of hamster food packages = b.

Number of dog food packages = 4b

Number of cat food packages = 1/2 of 4b = 2b

Total food packages = 600

⇒ b + b + 4b + 2b = 600

⇒ 8b = 600

⇒ b = 600/8 = 75

  • Step 2: Calculate the amount of dog food

∴ 4b = 4 × 75 = 300

Answer:

Bird food = 4*dog food

cat food  = 2 dog food

dog food = dog food

Total: bird food + cat food + dog food = 4+2 +1 = 600

dog food = 85.7 packages.

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