Question

In a school the ratio of male teachersi female teachers is 1*4. 30% of the male teachers are maths teachers. 10% of the female teachers are maths teachers. Show that the ratio of maths teachersiother teachers is 7:43.

Answer 1

To find the ratio of math teachers to other teachers, we started with the given ratio of male to female teachers of 1:4. By considering a larger initial group of 10 male and 40 female teachers, we could calculate the correct number of math teachers, which is 7 in total, while the number of other teachers is 43, resulting in the correct ratio of 7:43.

Step-by-step explanation:

Calculating the Ratio of Math Teachers to Other Teachers

Lets assume that there are 5 male teachers and 20 female teachers in the school, since the ratio of male to female teachers is given as 1:4. This is a total of 25 teachers.

30% of the male teachers are math teachers, which is 30% of 5 male teachers, amounting to 1.5, which we can round to 2 math male teachers (since we can't have half a teacher).

10% of the female teachers are math teachers, which is 10% of 20 female teachers, equaling 2 math female teachers.

Now, there are 2 math male teachers + 2 math female teachers = 4 math teachers in total.

The number of other teachers would be the total number of teachers minus the math teachers: 25 - 4 = 21 other teachers.

Finally, to find the simplest form of the ratio of math teachers to other teachers, we divide both numbers by their greatest common divisor, which is 1 in this case, so the ratio remains 4:21. However, since this doesn't match the expected ratio of 7:43 stated in the student's question, let's reconsider the initial assumptions and correct calculations.

We must make sure that our initial counts of male and female teachers result in whole numbers when taking percentages. Actually, if we assume there are 10 male teachers and 40 female teachers, then:

• 30% of 10 male teachers = 3 math male teachers
• 10% of 40 female teachers = 4 math female teachers

Thus, we have 3 math male teachers + 4 math female teachers = 7 math teachers in total. Now, the total number of other teachers is 50 - 7 = 43 other teachers, which gives us the correct ratio of 7:43 for math teachers to other teachers as required by the student's question.