Question

10. Rosa received a monthly raise of $162.50. If this represented a 6.5% increase, what is her monthly salary after the raise?

Answer 1

To find her monthly salary, first you must find 6.5% of 162.50. To do so, make 6.5% into a decimal. Then multiply .65 by 162.50. Your answer should be 10.5625. Then you would round 10.5625 to the thousandths place. It should look like so: 10.56. Next you would subtract 10.56 by 162.50. Your answer should be $151.94.

Answer 2

The monthly salary of Rosa after the raise is $2662.50.

Explanation:

Let the initial salary of Rosa be x.

Rosa received a monthly raise of $162.50 and this represented a 6.5% increase.

`x* (6.5)/(100)=162.50`

Multiply both sides by 100.

`x* (6.5)/(100)* 100=162.50* 100`

`6.5x=16250`

Divide both sides by 6.5.

`x=(16250)/(6.5)`

`x=2500`

The initial salary is 2500.

New salary = Initial salary + Increase

`\text{New salary}=2500+162.50`

`\text{New salary}=2662.50`

Therefore the monthly salary of Rosa after the raise is $2662.50.