Respuesta :
Answer:
Travis' per hour earnings = $135
Natalie's per hour earnings = $137
Step-by-step explanation:
Given:
Natalie is paid $2 more per hour than Travis
Natalie works for 40 hours
Travis works for 35 hours
The difference between their salaries for their work = $755
To find how much does each earn per hour.
Solution:
Let Travis earn in dollars per hour = [tex]x[/tex]
So, for 35 hours of work, his earning in dollars will be = [tex]35\times x = 35x[/tex]
Natalie will earn in dollars per hour = [tex]x+2[/tex]
So, for 40 hours of work, her earning in dollars will be = [tex]40\times (x+2) = 40(x+2)=40x+80[/tex] [Using distribution]
The difference between the earnings can be given as:
⇒ [tex]40x+80-35x[/tex]
Combining like terms
⇒ [tex]5x+80[/tex]
The difference = $755
So, we have:
[tex]5x+80=755[/tex]
Solving for [tex]x[/tex]
Subtracting both sides by 80.
[tex]5x+80-80=755-80[/tex]
[tex]5x=675[/tex]
Dividing both sides by 5.
[tex]\frac{5x}{5}=\frac{675}{5}[/tex]
[tex]x=135[/tex]
So, Travis' per hour earnings = $135
Natalie's per hour earnings = [tex]135+2=[/tex] = $137
