Question

Vanessa works 32 hours per week at her job. Her boss offers her a full time job (40 Hours per week) and a 2 dollar per hour raise. She says "this is great now I'll make 200 more per week". What is Vanessa's hourly wage before the raise?

Answer 1

Vanessa's original hourly wage was $23 per hour before she received a $2 per hour raise and increased her working hours to 40 hours per week, which resulted in her making $200 more per week.

Step-by-step explanation:

The question asks what Vanessa's hourly wage was before she received a raise and switched to full-time hours. To determine Vanessa's original hourly wage, we will work backward from her statement that she will make $200 more per week. Since Vanessa is working 8 additional hours per week (going from 32 to 40 hours) and she's getting a $2 raise per hour, we can create an equation to solve for her original wage.

Let x be her original hourly wage. The total increase in her weekly earnings can be accounted for by the pay increase from the raise and the additional hours worked. This results in the equation 8 × (x + 2) = 200. Solving this equation:

• First, distribute the 8: 8x + 16 = 200.
• Next, subtract 16 from both sides: 8x = 184.
• Finally, divide both sides by 8: x = 23.

Therefore, Vanessa's original hourly wage was $23 per hour before the raise.

Answer 2

$35.75 per hour

Step-by-step explanation:

In order to calculate this, we first need to calculate how much she made with her current hourly wage. We do this by multiplying the hours she worked by her current hourly wage plus her raise.

32 hours * (40+2) = $1,344

Now we subtract $200, since this is how much more she is making with her raise, and then we divide that amount by the 32 hours she is working per week.

(1,344 - 200) / 32 = $35.75 per hour

Finally, we can see that Vanessa's hourly wage before the raise was $35.75 per hour