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 how much?

Answer 1

Let x = amount for dog
let 2/3x-5 = amount for cat

x + 2/3x-5 = 195   combine x's
1 2/3x or 5/3x
5/3x-5 =195   add 5 to both sides
5/3x = 200   multiply both sides by 3
5x = 600   divided both sides by 5
x = 120

the cost of the dog is $120.00