Maria worked 15 more overtime hours than Jordan one week. If Maria worked 8 overtime hours for every 5 overtime hours that Jordan worked, for how many hours of overtime did each person work?

jordan worked n

maria worked (8/5) n

(8/5) n - n = 15

8 n - 5 n = 75

n = 25
(8/5)n = 40

Thank you soo much!

You are welcome.

To find out how many hours of overtime each person worked, we need to first determine the relationship between their overtime hours.

Let's start by setting up an equation based on the given information:

Maria's overtime hours = Jordan's overtime hours + 15

Next, we are told that Maria worked 8 overtime hours for every 5 overtime hours that Jordan worked. This can be written as the equation:

Maria's overtime hours = (8/5) * Jordan's overtime hours

Since both equations represent the same value for Maria's overtime hours, we can set them equal to each other:

(8/5) * Jordan's overtime hours = Jordan's overtime hours + 15

To solve this equation, we can multiply both sides by 5 to eliminate the fraction:

8 * Jordan's overtime hours = 5 * Jordan's overtime hours + 75

Simplifying the equation:

8 * Jordan's overtime hours - 5 * Jordan's overtime hours = 75

3 * Jordan's overtime hours = 75

Dividing both sides by 3:

Jordan's overtime hours = 75 / 3

Jordan's overtime hours = 25

Now we can substitute this value back into the equation to find Maria's overtime hours:

Maria's overtime hours = (8/5) * Jordan's overtime hours

Maria's overtime hours = (8/5) * 25

Maria's overtime hours = 40

Therefore, Maria worked 40 hours of overtime, while Jordan worked 25 hours of overtime.