The ratio of lefthanded to righthanded students in the school was 3 to 14. If the total number in both categories was 714, how many righthanded students were in the school

each group of students is 17 (3 left, 14 right)

714/17 = 42

so, there are 3*42 = 126 lefties
and there are 14*42 = 588 righties

To find the number of right-handed students in the school, we need to calculate the proportion of right-handed students in the total population.

First, let's find the total ratio of left-handed to right-handed students:
Ratio of left-handed to right-handed = 3 : 14

Next, we'll find the total number of parts in the ratio by adding the two numbers:
Total parts = 3 + 14 = 17

Now, we'll calculate the proportion of right-handed students by dividing the number of right-handed parts by the total number of parts:
Proportion of right-handed students = 14 / 17

Finally, we'll find the actual number of right-handed students by multiplying the proportion by the total number of students:
Number of right-handed students = (14 / 17) * 714

To find the number of right-handed students in the school, we need to calculate the fraction of right-handed students out of the total number of students.

Step 1: Add the ratios to find the total number of parts:
3 (left-handed) + 14 (right-handed) = 17 parts

Step 2: Write the proportion using the total number of students:
14/17 (right-handed students) = 714 (total number of students)

Step 3: Solve for the unknown (right-handed students):
14/17 = 714/x

To solve for x, we can cross-multiply:
14x = 714 * 17

Step 4: Divide both sides by 14 to isolate x:
x = (714 * 17) / 14

Using a calculator:
x ≈ 867. However, since the number of students must be a whole number, we can round down to get the final answer.

The number of right-handed students in the school is approximately 867.