Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.5 - Problem Solving and Using Formulas - Exercise Set - Page 66: 18

Answer

Total number of words $=2151\; thousand$. Number of words in Japanese $=232\; thousand$. Number of words in English $=999\; thousand$. Number of words in Chinese is $=500\; thousand$.

Work Step by Step

Let the number of words in Japanese is $=x$. Therefore the number of words in English is $=x+767\;thousand$. and the number of words in Chinese is $=x+268\; thousand$. Total number of words in these three languages is $=1731\;thousand$. The equation is $\Rightarrow x+x+767+x+268=1731$ Add like terms. $\Rightarrow 3x+1035=1731$ Subtract $1035$ from both sides. $\Rightarrow 3x+1035-1035=1731-1035$ Simplify. $\Rightarrow 3x=696$ Divide both sides by $3$. $\Rightarrow x=232$ Number of words in Japanese is $=232\; thousand$. Number of words in English is $=232+767=999\; thousand$. Number of words in Chinese is $=232+268=500\; thousand$. Total number of words in the five languages is: $=232+999+500+225+195$ $=2151\; thousand$.
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