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Land Problem

Category:Math
Submitted By:quizwizAhn
Fun:** (1.84)
Difficulty:*** (2.45)



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?

Answer:

5/4

(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

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