Mrs. Cindy needs to order new balls for the school students to use at recess. She asks the students what balls she should order. One-third of the students want Mrs. Cindy to order soccer balls. One-third of the students want Mrs. Cindy to order basketballs. One-sixth of the students want Mrs. Cindy to order footballs. Fifteen students want Mrs. Cindy to order kickballs. How many students did Mrs. Cindy ask about ordering new balls for recess?

1/3 + 1/3 + 1/6 = 5/6

1 - 5/6 = 1/6

1/6x = 15

x = 15/(1/6)

x = 15 * 6

x = 90

To find the total number of students Mrs. Cindy asked about ordering new balls for recess, we need to add the fractions representing the different types of balls the students want.

First, let's add the fractions representing the soccer balls, basketballs, and footballs:
1/3 + 1/3 + 1/6 = (2/6) + (2/6) + (1/6) = 5/6

This tells us that 5/6 of the students want Mrs. Cindy to order one of those three types of balls.

Now let's add the fraction representing the kickballs:
15 students want Mrs. Cindy to order kickballs.

To figure out how many students Mrs. Cindy asked, we need to find the whole quantity represented by the fraction 5/6.

Let's assume the total number of students Mrs. Cindy asked is "x". So, we have the equation:

5/6 * x = 15

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/6, which is 6/5:

(5/6 * x) * (6/5) = 15 * (6/5)
cancel out common factors, reducing to:
x = 15 * 6/5 = 90/5 = 18

Therefore, Mrs. Cindy asked 18 students about ordering new balls for recess.