Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set - Page 538: 32

Answer

Number is 4

Work Step by Step

Let the number be $\Longrightarrow$ x Thus 5 added to 4 times the number = 4(x) + 5 = 4x + 5 Given: $\frac{4x + 5}{6}$ = $\frac{7}{2}$ Cross multiplying, 2(4x + 5) = 7(6) 8x + 10 = 42 8x + 10 - 10 = 42 - 10 ... (Subtracting 10 from both sides) 8x = 32 x = $\frac{32}{8}$ x = 4
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