Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set: 19

Answer

$x=50$

Work Step by Step

Let x = the unknown number Then "the quotient of three times a number and 5" means $3x\div5$ or $\frac{3x}{5}$ "is increased by 4" means to add 4 to the quotient Thus, the equation that represents the situation is: $\frac{3x}{5}+4=34$ Use the addition property of equality to subtract 4 from both sides of the equation. $\frac{3x}{5}+4-4=34-4$ $\frac{3x}{5}=30$ Use the multiplication property of equality to multiply both sides of the equation by 5. $\frac{3x}{5}\times5=30\times5$ $3x=150$ Use the multiplication property of equality to divide both sides of the equation by 3. $3x\div3=150\div3$ $x=50$
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.