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1 month ago

5

Gavin wrote the equation p = StartFraction 3 (s + 100) Over 4 EndFraction to represent p, the profit he makes from s sales in hi

s lawn-mowing business. Which equation is solved for s?

1 answer:

Svet_ta [12.7K]1 month ago

5 0

Answer:

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

Detailed explanation:

Given

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

Required

Find s

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

Multiply each side by 4

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

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

$4p = 3(s + 100)$

Open the 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

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

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

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