Question

There are 100 seniors and 80 juniors in the Homecoming Parade. The students split up into groups of equal size, to fit on the parade floats. They want the most students possible on each float, with just juniors or just seniors on each float. How many students should be on each float?

Answer 1

Answer:

20 students should be on each float

Step-by-step explanation:

Number of seniors = 100

Number of juniors = 80

To find number of students that should be on each float, find highest common factor (H.C.F) of 100 and 80

Write prime factorisation of 100 and 80.

100 = $2^2$ × $5^2$

80 = $2^4$ × 5

So,

H.C.F(100, 80) = $2^2$ × 5 = 4 × 5 = 20

Therefore,

20 students should be on each float