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

Travis' per hour earnings = $135

Natalie's per hour earnings = $137

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* x = 35x`

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

So, for 40 hours of work, her earning in dollars will be =
`40* (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.

`(5x)/(5)=(675)/(5)`

`x=135`

So, Travis' per hour earnings = $135

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