Danni and tarkyn work at a restaurant. danni cooks and tarkyn washes. A cook gets paid 6 more an hour than a washer. in one week danni works 15 hours and tarkyn works 20 hours. they earn a total of 755. what is the hourly pay rate of each person

Answer 1

Let's call the hourly rate of the washer T (in dollars). Then the hourly rate of the cook is T + 6.

We know that Danni worked 15 hours and Tarkyn worked 20 hours, so we can set up the following equation:

15(T + 6) + 20T = 755

Expanding the brackets:

15T + 90 + 20T = 755

Combining like terms:

35T + 90 = 755

Subtracting 90 from both sides:

35T = 665

Dividing both sides by 35:

T = 19

So Tarkyn earns $19 an hour, and Danni earns $6 more than that, which is $25 an hour.