Question

An electronics company pays its employees $8.50 per hour plus 5% commission on all products they sell. Write an equation to find the number of hours an employee worked if they sold $8,000 of product and received $612.50 for their weekly pay.

Answer 1

The equation to find the number of hours an employee worked is;

`x=(T-0.05p)/(8.50)`

Where; x,p and T represent the number of hours worked, amount of product sold and Total weekly pay respectively.

The number of hours an employee worked if they sold $8,000 of product and received $612.50 for their weekly pay is 25 hours

Step-by-step explanation:

An electronics company pays its employees $8.50 per hour plus 5% commission on all products they sell.

Let x,p and T represent the number of hours worked, amount of product sold and Total weekly pay respectively.

We can write the equation to find the number of hours an employee worked from the first statement;

`\begin{gathered} T=\text{ \$8.50}* x+5\text{\% of p} \\ T=8.50x+0.05p \end{gathered}`

Making x the subject of formula. subtract 0.05p from both sides;

`\begin{gathered} T-0.05p=8.50x+0.05p-0.05p \\ T-0.05p=8.50x \\ 8.50x=T-0.05p \end{gathered}`

divide both sides by 8.50;

`\begin{gathered} (8.50x)/(8.50)=(T-0.05p)/(8.50) \\ x=(T-0.05p)/(8.50) \end{gathered}`

We have the equation, then let us find the number of hours an employee worked if they sold $8,000 of product and received $612.50 for their weekly pay.​

T = $612.50

p = $8,000

Substituting the given values, we have;

`\begin{gathered} x=(T-0.05p)/(8.50) \\ x=(612.5-0.05(8000))/(8.50) \\ x=(212.50)/(8.50) \\ x=25 \end{gathered}`

Therefore, the number of hours an employee worked if they sold $8,000 of product and received $612.50 for their weekly pay is 25 hours