Algebra 1: Common Core (15th Edition)

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

Chapter 2 - Solving Equations - 2-7 Solving Proportions - Practice and Problem-Solving Exercises: 73

Answer

$n=3/5 $

Work Step by Step

Although the variables only appear in the numerators, it is hard to cancel out the fractions as 9 and 24 do not have many low common factors. Thus, we use the Cross Products Property. Recall, cross multiplying refers to when we multiply the numerator of the first fraction by the denominator of the second fraction and set that equal to the numerator of the second fraction times the denominator of the first fraction. We first cross multiply to get that $24n=9n+9$. We then subtract by 9n on both sides to get that $15n=9$. We finally divide by 15 on both sides to get that $n=9/15$, which equals $3/5$.
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