Question

Natalie is paid $2 more per hour than Travis when Natalie works for 40 hours and Travis works for 35 hours they are $755 between them how much does each earn per hour​

Answer 1

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 = $x$

So, for 35 hours of work, his earning in dollars will be = $35\times x = 35x$

Natalie will earn in dollars per hour = $x+2$

So, for 40 hours of work, her earning in dollars will be = $40\times (x+2) = 40(x+2)=40x+80$ [Using distribution]

The difference between the earnings can be given as:

⇒ $40x+80-35x$

Combining like terms

⇒ $5x+80$

The difference = $755

So, we have:

$5x+80=755$

Solving for $x$

Subtracting both sides by 80.

$5x+80-80=755-80$

$5x=675$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{675}{5}$

$x=135$

So, Travis' per hour earnings = $135

Natalie's per hour earnings = $135+2=$ = $137