Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 100: 68


a) Tim 1/5; Tara 1/3 b) Tim d/5 in d days; Tara d/3 in d days. c) Together, 1/5 + 1/3, or 3/15 + 5/15; a total of 8/15 d) 1 = 8d/15; d = 1.875 or 1 and 7/8.

Work Step by Step

a) Tim can paint a house in 5 days, Tara in 3 days. Tim can paint 1/5 of a house in 1 day. Tara can paint 1/3 of a house in 1 day. b) In d days, Tim can paint a house in d/5 days and Tara can paint a house in d/3 days. c) Both together, in one day, can paint 1/5 plus 1/3 of the house. In d days, both together can paint d/5 plus d/3. d) Set an equation equal to 1 (for the whole house). Tim can paint d/5 and Tara d/3. Add them together with common denominator of 15. So, 1 = 3d/15 + 5d/15. Solve for d and get 1.875 or 1 and 7/8.
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.