How do you solve $\frac{9}{12} = \frac{p}{36}$ $\frac { 9} { 12} = \frac { p } { 36}$ ?

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How do you solve $\frac{9}{12} = \frac{p}{36}$ $\frac { 9} { 12} = \frac { p } { 36}$ ?

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Answer 1 · 2016-11-29T01:25:37

$p = 27$ $p=27$

Explanation:

requirements
solve $\frac{9}{12} = \frac{p}{36}$ $9/12=p/36$

applied concept
proportion cross multiply $\frac{a}{b} = \frac{x}{c}$ $a/b=x/c$ solve for $x$ $x$ $\Rightarrow a c = x b \Rightarrow x = \frac{a c}{b}$ $\rArrac=xb\rArrx=(ac)/b$

calculations
$\frac{9}{12} = \frac{p}{36}$ $9/12=p/36$ cross multiply $9 (36) = p (12)$ $9(36)=p(12)$
simplify $324 = p (12)$ $324=p(12)$
divide both sides by 12 $324/\color(red)(12)=(p(\cancel(12)))/\cancel(\color(red)(12))$
simplify $27=p$

check
$9/12\stackrel{?}{=}(27)/36$
$9/12\times3/3=27/36\leftrightarrow27/36$ is a multiple of $9/12\color(green)(\sqrt())$

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How do you solve $\frac{9}{12} = \frac{p}{36}$ $\frac { 9} { 12} = \frac { p } { 36}$ ?

1 Answer

Explanation:

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How do you solve \frac { 9} { 12} = \frac { p } { 36}912=p36\frac { 9} { 12} = \frac { p } { 36}?

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Explanation:

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How do you solve $\frac{9}{12} = \frac{p}{36}$ $\frac { 9} { 12} = \frac { p } { 36}$ ?