## Land ProblemMath brain teasers require computations to solve.A, B, and C each had land: am^2 (m^2=square meters), bm^2, and cm^2 (this is c square meter, not square centimeter!) big. A sold 1/4 of his land to B, then B sold 1/3 of the land he had (after he bought land from A) to C. If A, B, and C now have the same amount of land, what does (b+c)/a equal to?
## Answer5/4(multiplication symbols are not written down) Steps: 3/4a=2/3(1/4a+b)=1/3(1/4a+b)+c 3a/4=(a+4b)/6=(a+4b+12c)/12=k a=4/3k, b=7/6k, c=1/2k (b+c)/a = (7k/6 + 1k/2)/(4k/3) = (10k/6)(3/4k) = 5/4 Hide ## What Next?
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