$27 + 73 = 100 + p x - 365$
In the given equation, $p$ is a constant. What is the value of $p$ if $x = 1095$ is the solution to the equation?

-1/3

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1/3

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2/3

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3/2

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Solution

The correct option is B 1/3
Try plugging in $x = 1095 &$ working backward $27 + 73 = 100 + p x - 365$
So lets plug in the value $27 + 73 = 100 + p \times 1095 - 365$
$/ 100 = / 100 + 1095 p - 365$
Add 365 on both sides
$365 = 1095 p - / 365 + / 365$
$p = \frac{365}{1095}$
$p = \frac{1}{3}$
The correct answer is $p = \frac{1}{3}$

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