Margie 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 each dog costs twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. Write a system of equations that models the above situation (be sure to define what each variable represents) How much can Margie spend on each dog for food and medication?
X=4240:(164Y+24Yx2)
But basically you count with 164 portions for cats, and since the dog supplies are twice as much, you double the bumber of dogs, so it's 48.
Now add up 164+48, which is 212. So in total, you are basically buying 212 portions of supplies, since you need 2 portions for the dogs.
Now divide 4240 by 212 and you get 20. 20 is the cost per portion, so for a dog it would be $40.
I hope I did it okay.
X=4240:(164Y+24Yx2)
But basically you count with 164 portions for cats, and since the dog supplies are twice as much, you double the bumber of dogs, so it's 48.
Now add up 164+48, which is 212. So in total, you are basically buying 212 portions of supplies, since you need 2 portions for the dogs.
Now divide 4240 by 212 and you get 20. 20 is the cost per portion, so for a dog it would be $40.
I hope I did it okay.