Answer:
There are 3 associates and 5 partners assigned to the case.
Step-by-step explanation:
We know that the combined cost of the unknown number of associates and partners equals $6500 per day, and that the amount of associates and partners assigned to the case equals 8, so we can derive these two equations (where a is associates and p is partners):
500a + 1000p = 6500
a + p = 8
Let's use the second one first to isolate the a..
a + p = 8
If we subtract p from both sides of the equation we get:
a = 8 - p
Now we may use this in our original equation to solve for p
500(8-p) + 1000p = 6500
If we simplify by distribution, we get:
4000 - 500p + 1000p = 6500
Now let's add those two p's together...
4000 + 500p = 6500
And subtract 4000 from both sides to get:
500p = 2500
Now finally, divide both sides of the equation by 500 to get p:
p = 5
We now have the number of partners involved (5), and we know that the amount of associates plus the amount of partners assigned to the case equals 8, so we can plug the amount of partners assigned into the second formula to get a:
a + 5 = 8
And by subtracting 5 from both sides we get...
a = 3
