Question

$\frac{p}{3} + \frac{p}{4} = 55 - \frac{p + 40}{5}$

Answer 1

☆Hey Mate☆

Your answer is p = 60

Hope ot helps☺!

Answer 2

HI,
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Step 1: Simplify both sides of the equation.
$\frac{p}{3}$+$\frac{p}{4}$=55− ( $\frac{p+40}{5}$)
$\frac{p}{3}$+$\frac{p}{4}$=55+$\frac{-1}{5} p$+−8               (Distribute)
$\frac{1}{3} p$+$\frac{1}{4} p$=55+−$\frac{-1}{5} p$+−8
($\frac{1}{3} p$+$\frac{1}{4} p$)=($\frac{-1}{5} p$)+(55+−8)       (Combine Like Terms)
$\frac{7}{12} p$=$\frac{-1}{5} p$+47
$\frac{7}{12} p$=$\frac{-1}{5} p$+47

Step 2: Add 1/5p to both sides.
$\frac{7}{12} p$+15p=$\frac{-1}{5} p$+47+$\frac{1}{5} p$
$\frac{47}{60} p$=47
Step 3: Multiply both sides by 60/47.($\frac{60}{47} p$)*($\frac{47}{60} p$)=($\frac{60}{47} p$)*(47)
 ∴p=60
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Hope helped!!
:-)