If you have a circle graph 15 students like basketball 10 like soccer and 5 like softball. Write a ratio problem that relates to this graph and solve the problem.

ratio would be 5/6,1/6,1/3
how would a solve this if this is the right ratio.
Thank you so much for your help.

Those are not the right ratios

5/6 + 1/6 already equals 1, leaving out an entire 1/3

it should be 1/2, 1/3, 1/6

divide the number, n, with the total

n/total

15/30, 10/30, 5/30 and simplify

To solve the given ratio problem, we have to use the ratio of 5/6, 1/6, 1/3 to represent the number of students who like basketball, soccer, and softball, respectively.

Let's assume that the total number of students is x. Since the ratio given is in terms of parts, we can set up the following equation:

5/6 * x + 1/6 * x + 1/3 * x = x

Now, we can solve for x:

5/6x + 1/6x + 1/3x = x
(5/6 + 1/6 + 1/3)x = x
(10/6 + 2/6 + 2/6)x = x
(14/6)x = x

To simplify the equation, we can multiply both sides by 6 to eliminate the denominators:

14x = 6x

Next, we need to isolate x by subtracting 6x from both sides:

14x - 6x = 6x - 6x
8x = 0

Now, we can divide both sides by 8 to solve for x:

8x/8 = 0/8
x = 0

Therefore, the total number of students in this case is 0.

However, it is important to note that in real-world scenarios, you cannot have zero students. Therefore, it appears that there may be an error or inconsistency in the given ratio values. Please double-check the ratios and their corresponding parts to ensure accuracy.