Q67. - Algebra 1

Question

Tanya makes \(5 an hour and 15% commission of the total dollar value on cosmetics she sells. Suppose Tanya's commission is increased to 17%. How much money will she make if she sells \)300 worth of product and works 30 hours?

1. \(201
2. \)226
3. \(255
4. \)283

Step-by-Step Solution

Answer

The option A. $201 is the correct answer.

Step-1. Write down the given statement.

Tanya works $5 per hour and makes 15% commission on the total dollar value of the product she sells.

Tanya’s commission is increased to 17%. 

Step-2. Evaluate total amount earned by Tanya.

Let Tanya earned the amount x when she worked for 30 hours and sells $300 worth products with an increased commission of 17%.

Therefore, according to the given data:

$\begin{array}{l}x=5\left(30\right)+17\%\text{ of 300}\\ x=5\left(30\right)+\frac{17}{100}·\text{300}\\ x=150+17·3\\ x=150+51\\ x=201\end{array}$

Step-3. Conclusion from the total amount earned.

The option (A) $201 is the correct answer.