Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 2 - Multiplying and Dividing Fractions - 2.6 Applications of Multiplication - 2.6 Exercises - Page 156: 19

Answer

$\frac{3}{4}$ responded 4 hours or less. 765 responded 4 hours or less.

Work Step by Step

To find the fraction of people and the number of people willing to wait four hours or less you must combine the group who responded 4 hours with the group who responded 2 hours or less. The graph indicates the $\frac{3}{5}$ responded 2 hours or less and $\frac{3}{20}$ responded hours. To add these fractions together you must find the lowest common denominator and restate both fractions using the lowest common denominator. The lowest common denominator is 20, so only $\frac{3}{5}$ needs to be converted. $\frac{3}{5}$ = $\frac{3 \times 4}{5 \times 4}$ = $\frac{12}{20}$ Now you can add the two fractions to find the fraction of people who responded 4 hours or less. $\frac{12}{20}$ + $\frac{3}{20}$ = $\frac{15}{20}$ = $\frac{15 \div 5}{20 \div 5}$ = $\frac{3}{4}$ Multiply the total number people of surveyed by $\frac{3}{4}$ to find the number who responded 4 hours or less. $1020 \times \frac{3}{4}$ = $\frac{3060}{4}$ = $\frac{3060 \div 4}{4 \div 4}$ = $\frac{765}{1}$ = 765
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