The equation solved for s is s = 4p - 48h
Solution:
Given that equation a company uses to calculate pay checks is p = 12h +0.25s
Therefore the given equation is:
p = 12h + 0.25s
Where "h" is the number of hours worked
"s" is the total sales
To find: equation for "s"
Let us solve the given equation for "s"
p = 12h + 0.25s
Now move 12h from R.H.S to L.H.S
p - 12h = 0.25s
Now move from 0.25 from R.H.S to L.H.S
[tex]s = \frac{p-12h}{0.25}\\\\s = \frac{p}{0.25} -\frac{12h}{0.25}[/tex]
We know that, [tex]0.25 = \frac{1}{4}[/tex]
[tex]s = \frac{p}{\frac{1}{4}} -\frac{12h}{\frac{1}{4}}\\\\s = p \times \frac{4}{1} - 12h \times \frac{4}{1}\\\\s = 4p - 48h[/tex]
Thus the equation for s is s = 4p - 48h
