SOLUTION: Margie is responsible for buying a week's supply of food and medicine for the dogs and cats at a local shelter. The food and medicine for each dog cost twice as much as those suppl

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Margie is responsible for buying a week's supply of food and medicine for the dogs and cats at a local shelter. The food and medicine for each dog cost twice as much as those suppl      Log On


   

Question 877546: Margie is responsible for buying a week's supply of food and medicine for the dogs and cats at a local shelter. The food and medicine for each dog cost twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medicine?
Found 3 solutions by lwsshak3, josgarithmetic, MathTherapy:
Answer by lwsshak3(11628) About Me  (Show Source):
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Margie is responsible for buying a week's supply of food and medicine for the dogs and cats at a local shelter. The food and medicine for each dog cost twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medicine?
***
let x=cost for each cat
2x=cost for each dog
164x+24*2x=4240
164x+48x=4240
212x=4242
x=20
2x=40
How much can Margie spend on each dog for food and medicine? $40

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
d = dollars per dog
c = dollars per cat
d%2Fc=2.
-

From the price per individual ratio, d=2c.

Using dog and cat count,
24d%2B164c%3C=420
24%2A2c%2B164c%3C=420
48c%2B164c%3C=420
212c%3C=420
c%3C=1.98 dollars per cat, corresponding to about 3.96 dollars per dog.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Margie is responsible for buying a week's supply of food and medicine for the dogs and cats at a local shelter. The food and medicine for each dog cost twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medicine?


Let amount she can spend on each dog's food and medicine be D

Then amount she can spend on each cat's food and medicine = %281%2F2%29D, or D%2F2

From this we get: 164%28D%2F2%29+%2B+24D+=+4240

She can spend $highlight_green%28highlight_green%2840%29%29%29 on each dog's food and medicine.

You can do the check!! 



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