Question

Gavin wrote the equation p = StartFraction 3 (s + 100) Over 4 EndFraction to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?

Answer 1

Answer:

$s = \frac{4p}{3} -100$

Step-by-step explanation:

Given

$p = \frac{3(s + 100)}{4}$

Required

Solve for s

$p = \frac{3(s + 100)}{4}$

Multiply both sides by 4

$4 * p = \frac{3(s + 100)}{4} * 4$

$4 * p = 3(s + 100)$

$4p = 3(s + 100)$

Open bracket

$4p = 3s + 300$

Subtract 300 from both sides

$4p -300= 3s + 300 -300$

$4p -300= 3s$

Divide both sides by 3

$\frac{4p -300}{3}= \frac{3s}{3}$

$\frac{4p -300}{3}= s$

$s = \frac{4p -300}{3}$

Split

$s = \frac{4p}{3} -\frac{300}{3}$

$s = \frac{4p}{3} -100$