When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the value n?

First we need to subtract n on both sides. That will give us 1/5n = 24 - n. Then we need to divide both sides by 1/5 aka multipliying both sides by 5. Now we have n = 120-5n. Now we subtract both sides by n. That will give us 0 = 120 - 4n. Now lets add both sides by 4n. Canceling the 4n on the right side. 120 = 4n. Now we need to divide both sides by 4. 30 = n. Therefore the answer is 30

30 = n thats the answer