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: 127

Answer

WIth 1 cup of butter, you can make 24 total (whole) brownies.

Work Step by Step

If $\frac{2}{3}$ cup of butter will make 16 brownies, then 1 cup of butter makes 24 brownies. We get 24 by setting up a ratio of 16 brownies to $\frac{2}{3}$ cup of butter. This ratio is 16 $\div$ $\frac{2}{3}$ In fraction division, we keep the first number (in our case 16), flip the second number (in our case, we flip $\frac{2}{3}$ and get $\frac{3}{2}$) and we change the $\div$ sign to a $\times$ sign. In other words, we multiply by the reciprocal of the second fraction. Thus, we have: $\frac{16}{1}$ x $\frac{3}{2}$ = $\frac{48}{2}$ = 24. 24 times the 1 cup of butter given still gives us 24. Therefore, 24 brownies can be made with 1 cup of butter.
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.