Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 3 - Section 3.4 - Linear Equations in One Variable and Problem Solving - Exercise Set - Page 199: 56

Answer

Florida recieved 27 votes, and California recieved 55 votes. Yes, this produced the same results as question 25. This is because the specific variable (the letter you use to symbolise a number you don't yet know) that you choose doesn't have any impact on the actual value of said variable.

Work Step by Step

x = number of electoral votes for Florida c = number of electoral votes for California $x + c = 82$ $c = x + 28$ $x + x + 28 = 82$ (substitue c for x + 28) $2x + 28 = 82$ (combine like terms) $2x = 54$ (subtract 28 from both sides) $x = 27$ (divide both sides by 2)
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