Intermediate Algebra (6th Edition)

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

Chapter 2 - Review - Page 113: 89

Answer

In $2020,$ the number of tourists in France would be $93$ million, US would have $102$ million, and China would have $137$ million.

Work Step by Step

Let $x$ be the number of tourists in France. Then the number of tourists in the United States is $x+9,000,000$ and the number of tourists in China is $x+44,000,000.$ The conditions of the problem translates to the equation \begin{array}{l}\require{cancel} x+(x+9,000,000)+(x+44,000,000)=332,000,000 .\end{array} Using the properties of equality, then \begin{array}{l}\require{cancel} x+x+9,000,000+x+44,000,000=332,000,000 \\\\ 3x+53,000,000=332,000,000 \\\\ 3x=332,000,000-53,000,000 \\\\ 3x=279,000,000 \\\\ x=\dfrac{279,000,000}{3} \\\\ x=93,000,000 .\end{array} Hence, in $2020,$ the number of tourists in France would be $93$ million, US would have $102$ million, and China would have $137$ million.
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