Question

In order to maintain a healthy weight, an average adult dog that weighs 22 kilograms must consume 11 grams of dog food per kilogram of its body weight each day. A specialty pet store sells dog food by the cup, where 4 cups of dog food weighs 396 grams. About how many cups of dog food should the dog consume each day in order to maintain a healthy weight? A.2.44 B.0.41 C.2.75 D.0.61

Answer 1

Answer: A) 2.44

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Work Shown:

x = number of cups

4 cups = 396 grams

(4 cups)/4 = (396 grams)/4 ... divide both sides by 4

1 cup = 99 grams

x*(1 cup) = x*(99 grams) ... multiply both sides by x

x cups = 99x grams

The dog weighs 22 kg, and we need 11 grams of food for each kilogram of the dog's weight, so we need a total of 11*22 = 242 grams of food. Set this equal to 99x and isolate x to get the following:

99x = 242

99x/99 = 242/99 ..... divide both sides by 99

x = 2.44 .... which is approximate to two decimal places