Mathematics
chicka18bonita
49

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 $?

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(2) Answers
ElizbethLiddle208

Let x be the amount that Jeff spent for the food and medication of his dog. With this representation, the cost of food and medication for each cat is 2x/3 - 5. The equation that best represent the given situation is,                             x + 6(2x/3 - 5) = 195 The value of x from the equation is 45. Thus, Jeff spent $45 for his dog. 

Miraclehug

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

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