8/60=12/x
solve for x
x= 90 students
solve for x
x= 90 students
Given that the average proportion of left-handed students is 8 out of 60, we can set up a proportion:
8 left-handed students / 60 total students = 12 left-handed students / x total students
Cross-multiplying, we get:
8x = 60 * 12
Dividing both sides by 8, we find:
x = (60 * 12) / 8
Calculating the expression on the right side gives:
x = 720 / 8
x = 90
Therefore, we can estimate that there are approximately 90 students in the class.
First, calculate the proportion of left-handed students in the class:
Proportion of left-handed students = Number of left-handed students / Total number of students
The average proportion of left-handed students in the class is 8/60, which simplifies to 2/15.
Next, set up a proportion with the given information:
(Number of left-handed students) / (Total number of students) = (Proportion of left-handed students)
Let's denote the total number of students as "x". Plugging in the known values into the proportion, we get:
12 / x = 2/15
Now, cross-multiply and solve for "x":
15 * 12 = 2 * x
180 = 2x
x = 180 / 2
x = 90
So, the estimated number of students in the class is 90.