Question

Jeff needs to buy food and medication for six cats and one dog. The cost of food and medication for a cat is $5 less than two-thirds of the cost of food and medication for a dog.
If Jeff spends a total of $195, the amount he spent on food and medication for the dog is $_____________. What is the answer to this question? Please answer as soon as possible! Thanks so much everyone!✌

Answer 1

Answer:

let 'x' be the amount for cat's food and medication 'y' be the amount for dog's food and medication.

since the cost of food and medication for a cat is $5 less than two-thirds of the cost of food and medication for a dog then you'll have the equation as: x = 2/3y - 5 ------equation 1

knowing that the total is 195 and there are 6 cats and a dog then,  

6x + y = 195 -----equation 2  

substitute equation 1 to equation 2  

6x + y = 195 6(2/3y - 5) + y = 195  

distribute 6 to the quantity 4y - 30 + y = 195

4y + y = 195 + 30  

5y = 225  

y = $45