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Q20.

Expert-verifiedFound in: Page 247

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

**Find the value of x****.**

$\frac{3x+5}{3}=\frac{18x+5}{7}$

The value of x is $\frac{20}{33}$.

The ratio here given is,

$\frac{3x+5}{3}=\frac{18x+5}{7}$

The properties of proportion,

if $\frac{a}{b}=\frac{c}{d}$ then,$ad=bc$

The given ratio is$\frac{3x+5}{3}=\frac{18x+5}{7}$,

Then,

$\begin{array}{l}7(3x+5)=3(18x+5)\\ 21x+35=54x+15\text{}\left(\text{Using distributive property}\right)\\ 21x-54x=15-35\\ -33x=-20\end{array}$

$\begin{array}{l}\frac{-33x}{-33}=\frac{-20}{-33}\\ x=\frac{20}{33}\end{array}$

Therefore, the value of x is$\frac{20}{33}$ .

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