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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 $?

Verified Answer :

meerkat18

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.

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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