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
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.
To find the hourly pay rate of each person, let's assume the hourly pay rate for Tarkyn (washer) is x.
Since Danni (cook) gets paid $6 more per hour than Tarkyn (washer), Danni's hourly pay rate would be x + $6.
In one week, Danni works for 15 hours, so the total amount Danni earns is 15 * (x + $6).
In the same week, Tarkyn works for 20 hours, so the total amount Tarkyn earns is 20 * x.
According to the given information, the total earnings for both of them is $755.
Therefore, we have the equation: 15 * (x + $6) + 20 * x = $755.
Now we can solve this equation to find the value of x.
15x + 90 + 20x = 755
35x + 90 = 755
35x = 665
x = 665/35
x = $19
So, Tarkyn's (washer) hourly pay rate is $19.
And Danni's (cook) hourly pay rate is x + $6 = $19 + $6 = $25. Thus, Danni's hourly pay rate is $25.