Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.3 - Systems of Linear Equations and Problem Solving - Exercise Set - Page 231: 17

Answer

Pens cost 20 cents each, while tablets cost 80 cents each.

Work Step by Step

We set up a system of equations: $7t+4p = 6.40$ and $2t+19p = 5.40$ We now substitute the second equation into the first: $7( \frac{5.40-19p}{2})+4p = 6.40$ Now, we use PEMDAS, a method for simplification. This acronym reminds us that we must first address parentheses, and then exponents. Next, we address multiplication and division, going from left to right. Lastly, we simplify addition and subtraction from left to right. This gives: $ p = .20$ We substitute back into the first equation and solve for the price of tablets. When we do this, we find: $t = .80 $
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.