6th grade average

10-90
89-80
79-70
Total number of students
22
42
68
What is the part to whole ratio for the 6th grade average of 79-70? Express your answer using a colon.

1 answer

To find the part-to-whole ratio for the 6th grade average of 79-70, we need to divide the number of students in that category by the total number of students.

From the data provided:

  • The number of students with an average of 79-70 is 68.
  • The total number of students is the sum of all the categories: 22 + 42 + 68 = 132.

Now, we can set up the part-to-whole ratio:

Number of students for 79-70 : Total number of students = 68 : 132.

Next, we can simplify this ratio. To do that, we can divide both numbers by their greatest common divisor (GCD). The GCD of 68 and 132 is 4.

Now, divide both:

68 ÷ 4 = 17
132 ÷ 4 = 33

Thus, the simplified part-to-whole ratio is:

17:33.