Answered

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

Sagot :

sqvatorex

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.

Lanuel

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;

[tex]F + M = 105[/tex]   .....equation 1

[tex]F = M + 19[/tex]      .....equation 2

[tex]M = F - 19[/tex]       .....equation 3

Substituting eqn 3 into eqn 1, we have:

[tex]F+F-19 =105\\\\2F -19=105\\\\2F = 105+19\\\\2F= 124\\\\F = \frac{124}{2}[/tex]

F = 62 teachers

Find more information: https://brainly.com/question/4728821

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