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There are 100 dogs at Pampered Paws Kennel. Each day, the dogs eat 100 lb of food. Large dogs eat 3 lb, medium dogs eat

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There are 100 dogs at Pampered Paws Kennel. Each day, the dogs eat 100 lb of food. Large dogs eat 3 lb, medium dogs eat 2 lb, and small dogs eat 0.5 lb.

There are 100 dogs at Pampered Paws Kennel. Each day, the dogs eat 100 lb of food. Large dogs eat 3 lb, medium dogs eat 2 lb, and small dogs eat 0.5 lb. How many of each dog are at the kennel if there
The answer is 5 large, 25 medium, 70 small dogs.x - the number of large dogsy - the number of medium dogsz - the number of small dogsThere are 100 dogs at Pampered Paws Kennel:x + y + z = 100Each day, the dogs eat 100 lb of food. Large dogs eat 3 lb, medium dogs eat 2 lb, and small dogs eat 0.5 lb:3x + 2y + 0.5z = 100There are five times as many medium dogs as large ones:x = 5yx + y + z = 1003x + 2y + 0.5z = 100y = 5x____Substitute y in the first two equations:x + 5y + z = 1003x + 2*5x + 0.5z = 100___6x + z = 10013x + 0.5z = 100____z = 100 - 6x13x + 0.5z = 100____13x + 0.5(100 - 6x) = 10013x + 50 - 3x = 10013x - 3x = 100 - 5010x = 50x = 50/10 = 5y = 5x = 5 * 5 = 25x + y + z = 1005 + 25 + z = 10030 + z = 100z = 100 - 30z = 70 ...

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