Norma Jean makes $25 per hour. She works 35 hours per week. She gets a commission of 15% on her total sales. How much should Norma sell to make $4,500 in a single week?

Norma needs to make sales worth $ _____ to make $4,500.

Respuesta :

Answer:

$24,166.67

Step-by-step explanation:

Let carry out the breakdown:

So Norman Jean makes a flat rate of $25 per hour, also she works 35 hours per week.

From the above statement Jean will make => 25 × 35 = $875 in a single week without commission.

For Jean to make $4500 in a week, we derive an equation for this:

875 + x = 4500;

x is the amount of commission Jean has to get in a week to make up to $4500 in that week => x = 4500-875; x = $3625.

Let y be the amount of sales Jean has to make to get a commission of x, we derive the following equation: 0.15 × y = x.

y = x ÷ 0.15 => 3625 ÷ 0.15

y = 24166.67.

So for Jean to meet her target of $4500 in a single week, Jean needs to make a sale worth $24,166.67.

The amount of sales that Norma needs to make in a week in order to earn $4500 in a week is; 24167

How to solve algebra word problems?

We are told that;

Norma Jean makes $25 per hour

Total time worked per week = 35 hours

Commision on total sales = 15%

Basic amount earned for the 35 hours in a week = 25 * 35 = $875

Now, if the amount of sales she makes that earns her commision is x, then it means for her to earn $4500 in a single week;

875 + 0.15x = 4500

0.15x = 4500 - 875

x = (4500 - 875)/0.15

x = 24166.67

Approximating to a whole number is;

x = 24167 sales

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