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? s = StartFraction p minus 100 Over 3 EndFraction s = StartFraction 4 p minus 300 Over 3 EndFraction s = StartFraction 4 p Over 300 EndFraction s = StartFraction 400 p Over 3 EndFraction

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Mathematics

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28 May, 01:19

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? s = StartFraction p minus 100 Over 3 EndFraction s = StartFraction 4 p minus 300 Over 3 EndFraction s = StartFraction 4 p Over 300 EndFraction s = StartFraction 400 p Over 3 EndFraction

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Elena Lane · Answer 1

Given the equation p = 3 (s + 100) / 4

Where,

p = profit made

s = sales

Solving for s from the given equation

p = 3 (s + 100) / 4

Multiply both sides by 4

4p = 3 (s + 100)

4p = 3s + 300

Subtract 300 from both sides of the equation

4p - 300 = 3s

Same as, 3s = 4p - 300

s = (4p - 300) / 3

OR, s = 4p/3 - 100

If any of these two is in the options, it's the right answer.