Mathematics
Gradia
49

If the population of Town B is 50% greater than the population of Town A and the populations of Town C is 20% greater than the population of Town A, then what percent greater is the population of Town B tan the population of Town C

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Let A = population of town A, B = population of town B, C = population of town C. Because the population of town B is 50% greater than that of town A, B = 1.5A                    (1) Because the population of town C is 20% greater than that of town A, C = 1.2A                  (2) From (1), obtain A = B/1.5 = (2/3)B        (3) Substitute (3) into (2). C = 1.2*(2/3)*B = 0.8B Divide each side by 0.8. 1.25C = B This result means that B is 25% greater than C. Answer: 25%

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