Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.2 - An Introduction to Problem Solving - Exercise Set: 57

Answer

New York's Population = 19.43 million Mexico's Population = 19.46 million Tokyo's Population = 36.67 million

Work Step by Step

Let New York's Population be $x$ Mexico's Population (in millions) $=x+0.03$ Tokyo's Population (in millions) $=2x-2.19$ Total Population of three cities = $75.56$ million $x+x+0.03+2x-2.19 = 75.56$ Group like terms. $x+x+2x+0.03-2.19 = 75.56$ Combine like terms. $4x-2.16 = 75.56$ Add $2.16$ on both sides. $4x-2.16+2.16 = 75.56+2.16$ $4x = 77.72$ Divide by $4$ on both sides. $x= 19.43$ New York's Population be $(x) = 19.43$ Mexico's Population (in millions) $=x+0.03$ $=19.43+0.03$ $= 19.46$ Tokyo's Population (in millions) $=2x-2.19$ $=2(19.43)-2.19$ $=38.86-2.19$ $=36.67$
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