Kin has finished eight of the ten math problems. Phil has finished 2/5 of the math problems. How much more of the math has Kim finished?
8 problems = 8/10 = 4/5
To find out how much more math problems Kin has finished compared to Phil, we need to calculate the difference between the two.
First, let's determine how many math problems Phil has completed. We know that Phil has finished 2/5 of the math problems, so we need to find 2/5 of the total number of problems.
If we let x represent the total number of math problems, we can set up the equation (2/5)x = number of problems Phil has finished.
To find how much Kin has finished, we need to calculate the difference between the total number of problems and the number Phil has finished.
So, the difference is x - (2/5)x.
Since we are given that Kin has finished eight of the ten math problems, we know that this difference is equal to 8.
Therefore, we can set up the equation x - (2/5)x = 8.
To solve for x, we can first distribute the equation: (1 - 2/5)x = 8.
Simplifying the equation gives us (3/5)x = 8.
To isolate x, we divide both sides of the equation by 3/5: x = 8 / (3/5).
Dividing 8 by 3/5 is the same as multiplying 8 by the reciprocal of 3/5: x = 8 * (5/3).
Calculating the above expression gives us x = 40/3.
So, the total number of math problems is 40/3.
To find the difference in the number of math problems Kin has completed compared to Phil, we subtract the number Phil has completed (2/5) times the total number of problems from the total number of problems.
Difference = (40/3) - (2/5)(40/3).
Simplifying this expression gives us a difference of 8/3.
Therefore, Kin has finished 8/3 more math problems than Phil.