Question

a college has a total of 105 teachers 19 more female teachers than male teachers. what proportion of the teachers are female?

Answer 1

Answer:

62

Step-by-step explanation:

This question is easy.

I don't know how to explain the formula as I am afraid it would be confusing, so I would just write the solution and you can analyse it.

105 - 19 = 86 (Find out how much the college would have without the more)

86 ÷ 2 = 43 (Find out male and female teachers in a seperate way without more)

43 + 19 = 62 (Female teachers)

Sorry if my explaination wasn't so accurate, I tried my best to make sure you understand it.

Answer 2

The proportion of the teachers that are female is 62 teachers.

• Let the number of female teachers be F.

• Let the number of male teachers be M.

Given the following data:

• Total number of teachers = 105 teachers

To calculate what proportion of the teachers are female:

Translating the word problem into an algebraic expression, we have;

$F + M = 105$   .....equation 1

$F = M + 19$      .....equation 2

$M = F - 19$       .....equation 3

Substituting eqn 3 into eqn 1, we have:

$F+F-19 =105\\\\2F -19=105\\\\2F = 105+19\\\\2F= 124\\\\F = \frac{124}{2}$

F = 62 teachers

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