Question

Mr. Mitchell needs to order new balls for the Lincoln School students to use at recess. Mr. Mitchell asks many students what types of balls he should order. One-third of the students want Mr. Mitchell to order soccer balls. One-third of the students want Mr. Mitchell to order basketballs. One-sixth of the students want Mr. Mitchell to order footballs. Fifteen students want Mr. Mitchell to order kickballs. How many students does Mr. Mitchell ask about ordering new balls for recess? How many students want each kind of ball? Show all your mathematical thinking.

Answer 1

A. 90

B. Soccer ball = 30

Basketball = 30

Football = 15

Kickball = 15

Explanation:

Let whole students be 1

Only 15 students are known to order kickball. So the fraction of the number becomes :

`1 - ( (1)/(3) + (1)/(3) + (1)/(6) ) \\ 1 - (5)/(6) = (1)/(6)`

So the fraction of students that ordered kick balls is 1/6

Since 1/3 = 2(1/6):

30 students ordered for soccerballs

30 students ordered for basketballs

15 students ordered for footballs and

15 students ordered for kick balls.

Altogether, a total of 90 students were asked