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SpyIntel [72]
3 years 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?
Mathematics
1 answer:
Molodets [167]3 years ago
5 0

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

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