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: b

Explanation:

i just did it and got it right

Answer 2

`s = (4p)/(3) -100`

Explanation:

Given

`p = (3(s + 100))/(4)`

Required

Solve for s

`p = (3(s + 100))/(4)`

Multiply both sides by 4

`4 * p = (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

`(4p -300)/(3)= (3s)/(3)`

`(4p -300)/(3)= s`

`s = (4p -300)/(3)`

Split

`s = (4p)/(3) -(300)/(3)`

`s = (4p)/(3) -100`