word problem?

Question

Angie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for the dogs costs twice as much as those supplies for the cats. She needs to feed 144 cats and 25 dogs. Her budget is $4268. How much can Angie spend on each dog for food and medication?

Answer 1

Let c = cat food/medication cost
Let 2c = dog food/medication cost (because dog food/medication costs twice as much as cat food/medication)

Set up your formula based on the number of cats and dogs:
144c + 25(2c) = $4,268
144c + 50c = $4,268
194c = $4,268
c = $22
The cost per cat is $22. The cost per dog is twice that much or $44.

Answer 2

Let x be the amount it costs for a cat.
We know that a dog costs 2x

Given 144 cats and 25 dogs we get

144x+(2*25x)=4268

144x + 50x = 4268

194x = 4268

x = 4268/194 = 22

Therefore since each dog costs 2x we get $44 per dog.

Answer 3

okay if x is what you spend on cats then 2x is what you spend on dogs.

now we can set up an equation....

144x + 25(2x) = 4268

144x + 50x = 4268

194x =4268

x=22

So she can spend $22 on each cat. This means she will spend $44 on each dog.

Answer 4

d = 2c

4268 = 144c +25d = 144*d/2 + 25d = 72d + 25d = 97d

d = 4268/97 = 44