Questions: Stacee earns 70 per day plus a 4 commission for each sale that she makes. If she earns 150 in a day, determine how many sales she made by solving for x in the following equation: 4x+70=150 20 sales 30 sales 55 sales 12 sales

Stacee earns 70 per day plus a 4 commission for each sale that she makes. If she earns 150 in a day, determine how many sales she made by solving for x in the following equation: 4x+70=150 20 sales 30 sales 55 sales 12 sales
Transcript text: Stacee earns $\$ 70$ per day plus a $\$ 4$ commission for each sale that she makes. If she earns $\$ 150$ in a day, determine how many sales she made by solving for $x$ in the following equation: \[ 4 x+70=150 \] 20 sales 30 sales 55 sales 12 sales
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Solution

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Solution Steps

To determine how many sales Stacee made, we need to solve the equation \(4x + 70 = 150\) for \(x\). This involves isolating \(x\) by first subtracting 70 from both sides of the equation and then dividing the result by 4.

Step 1: Set Up the Equation

Stacee's earnings can be represented by the equation \(4x + 70 = 150\), where \(x\) is the number of sales she made. We need to solve this equation for \(x\).

Step 2: Isolate the Variable

Subtract 70 from both sides of the equation to isolate the term with \(x\): \[ 4x + 70 - 70 = 150 - 70 \] \[ 4x = 80 \]

Step 3: Solve for \(x\)

Divide both sides by 4 to solve for \(x\): \[ x = \frac{80}{4} \] \[ x = 20 \]

Final Answer

Stacee made \(\boxed{20}\) sales.

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