Final answer:
To determine an equivalent ratio for 250 students based on a 24% positivity rate, we set up a proportion and solve for the unknown number of positive students. By cross-multiplying and dividing, we find that approximately 60 students out of 250 would be expected to be positive, preserving the equivalent ratio of 24:100.
Step-by-step explanation:
To find an equivalent ratio where the total number of students is 250, we need to understand the concept of ratios and percentages. Let's use the information about the percent of positive students being approximately 24% as an example. Given this percentage, we can establish an equivalent fraction with 100 as the denominator and calculate how many of those 250 students are expected to be positive. So, we have the following:
24/100 = x/250
By cross-multiplying, we get:
24 × 250 = 100 × x
6000 = 100x
Now, we divide both sides by 100 to find the value of x:
x = 60
Thus, out of 250 students, we can expect 60 students to be positive, giving us an equivalent ratio of 60:250, which simplifies to 24:100 when scaled down.