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A farmer of chickens and cows has a total of 30 animals with 74 legs between them. (All of the animals have the full complement of legs.) How many chickens does the farmer have?
THE BEAUTY OF MATH PATTERNS Some people say mathematics is the science of patterns which I think is a pretty accurate description. Not only do patterns take on many forms, but they occur in every part of mathematics. But then again patterns occur in other disciplines as well. They can be sequential, spatial, temporal, and even linguistic.
The last wishes of Alexander the Great......... On his death bed, Alexander summoned his army generals and told them his three ultimate wishes: 1. The best doctors should carry his coffin ... 2. The wealth he has accumulated (money, gold, precious stones) should be scattered along the procession to the cemetery ...
Do you know that?.... According to Wikipedia, Mathematical beauty describes the notion that some mathematicians may derive aesthetic pleasure from their work, and from mathematics in general. They express this pleasure by describing mathematics (or, at least, some aspect of mathematics) as beautiful. Mathematicians describe mathematics as an art form or, at a minimum, as a creative activity. Comparisons are often made with music and poetry. Do you also know that?....
4(a) + 2(b) = 74
ReplyDeletea+b=30
4(30-b)+2(b)=74
120-4b+2b=74
120-74=4b-2b
2b=46
b=23 (Chickens)
Solve for a
4(a)+2(30-a)=74
4a+60-2a=74
4a-2a=74-60
2a=14
a=7 (cows)