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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?
From "Mind of Malaka". A bracing must read for everyone who cares about Africa: “ That’s what we call your country. You guys are as stagnant as the water in the lake. We come in with our large boats and fish your minerals and your wildlife and leave morsels—crumbs. That’s your staple food, crumbs. That corn-meal you eat, that’s crumbs, the small Tilapia fish you call Kapenta is crumbs. We the Bwanas (whites) take the cat fish. I am the Bwana and you are the Muntu. I get what I want and you get what you deserve, crumbs. That’s what lazy people get—Zambians, Africans, the entire Third World.”
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)