Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.3 The Rational Numbers - Exercise Set 5.3 - Page 286: 139


$\frac{1}{10}$ of the estate goes to charity.

Work Step by Step

A will notes that $\frac{3}{5}$ of an estate is to be divided among relatives. If $\frac{3}{5}$ of the estate goes to relatives, then the part of the estate not going to relatives is: 1 - $\frac{3}{5}$ = $\frac{5}{5}$ = $\frac{3}{5}$ = $\frac{2}{5}$. Now, we know that $\frac{2}{5}$ of the estate will go somewhere other than to relatives. The problem notes that $\frac{1}{4}$ of the estate remaining after the relatives receive their their share is to go to charity. This means that $\frac{1}{4}$ of the remaining $\frac{2}{5}$ goes to charity. Since "of" is a way to indicate multiplication in word problems, we multiply: $\frac{2}{5}$ x $\frac{1}{4}$ = $\frac{2}{20}$ = $\frac{1}{10}$ (The amount that goes to charity.)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.