![]() There were a total of 72 legs in the box. The collector of beetles and spiders had ten creatures in a box. Calculate (by equation) how many hens there are in the yard and how many rabbits. There are a total of 35 hens and rabbits in the yard. How many sheep are in the field, and how many geese? ![]() They have a total of 20 heads and 64 legs. Altogether there has 20 heads and 60 feet. But if she added five chickens to the original number, the kittens and chickens would have theĪ herd of horses grazes in the meadow. Juraj found that if she added one more kitten, the number of kittens and chickens would be the same. There were chickens and kittens in the grandmother's yard. How many people and flies are in the waiting room? Together they have 21 heads and 102 legs (fly has six legs). In the waiting room are people and flies. How many geese ran around the backyard, and how many dogs? How many geese and how many piglets were in the yard?ĭogs and geese ran around the backyard. Jane calculated that they have a total of 20 heads and 64 legs. There were geese and piglets in the yard. There are rabbits and chickens on a farm, 41 heads and 132 legs in all. There were goats and chickens in the yard. They had a total of 20 heads and 56 legs. Michael calculated that they have a total of 20 heads and 64 legs. Michael's grandmother raises chickens and rabbits. How many chickens? How many rabbits are there? There are 108 legs and 33 heads in the yard. How many chickens and rabbits breed in the yard? It found that the yard has 25 heads and 70 legs. There were chickens and hares in the yard. Math Central is supported by the University of Regina and the Imperial Oil Foundation.We encourage you to watch this tutorial video on this math problem: video1 Related math problems and questions: This isn't in triangular form, so has no obvious "weak spot." But you can (for instance) subtract the second equation from the first to get a second equation in x and z then add this to the third to eliminate z. This gives rise to the linear equation system I think I might know what you mean, and if so, it's not a ratio problem but a problem in linear algebra. What does 10.6 + 8.5 + 6.1 = 25.2 kg represent in terms of roosters, hens and chicks? What does one chicken weigh?Ī third solution comes from an observation. Remove the 2.4 kg weight and the scale reads 10.6 - 2.4 = 8.2 kg. Hence, on the scale with the rooster and the hen replace the rooster by an identical hen and a 2.4 kg weight. But the rooster and the hen together weigh 10.6 kg. Thus the rooster weighs 8.5 - 6.1 = 2.4 kg more than the chicken. The rooster and the chick weigh 8.5 kg and the hen and chick weigh 6.1 kg. I am going to use the numeric values in the problem referred to above and refer to the three chickens as a rooster, a hen and a chick with the rooster the heaviest and the chick the lightest. I think this is wonderful problem to give to a group of such students and have them work on a joint solution. Free, online math games and more at Problem solving, logic games and number puzzles kids love to play. This problem can however be presented to a student as soon as he or she learns to do arithmetic with decimals. If your son knows some algebra he can solve it using the algebraic technique used on the web site. I like this problem a lot partly because there are so many ways to solve it. I think it's a ratio problem, but I am too far removed to formulate a plan to teach him how to solve it. We are to determine the weight of all three together. Thus the rooster weighs 8.5 - 6.1 2.4 kg more than the chicken. ![]() My son brought home a problem of 3 chickens of different weights listing their weights in different groupings of 2. The rooster and the chick weigh 8.5 kg and the hen and chick weigh 6.1 kg. Three chickens weighed in pairs - Math Central
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