Answer:
The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.
Explanation:
a)
Let 'x' be the total number of students in Mrs. Hayko's class.
One-third of the students walk to school: (1/3)x.
The remaining students who do not walk to school: (2/3)x.
Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.
Simplify to find the fraction of students taking the bus: (8/15)x.
b)
Consider different values for 'x' to find a whole number of students taking the bus.
Start with a small number, such as x = 15.
Calculate the number of students taking the bus using (8/15)x.
If the result is a whole number, it's a possible class size.
Repeat with different values of 'x' until a whole number is obtained.
The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.