Problem

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

Solution

Step 1 :Given the equation \(p=\frac{3(s+100)}{4}\), we are asked to solve for \(s\).

Step 2 :First, we multiply both sides of the equation by 4 to get rid of the denominator on the right side. This gives us \(4p = 3(s + 100)\).

Step 3 :Next, we distribute the 3 on the right side of the equation to get \(4p = 3s + 300\).

Step 4 :Then, we subtract 300 from both sides of the equation to isolate \(s\). This gives us \(4p - 300 = 3s\).

Step 5 :Finally, we divide both sides of the equation by 3 to solve for \(s\). This gives us \(s = \frac{4p}{3} - 100\).

Step 6 :\(\boxed{s = \frac{4p}{3} - 100}\) is the equation solved for \(s\).

From Solvely APP
Source: https://solvelyapp.com/problems/35698/

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