Maths-
SAT
Easy

Question

A researcher determined that the ratio of males to females in a healthy herd of deer should be 3 to 7. If a population has 70 deer, how many female deer should be in the herd in order for the herd to be considered healthy?

  1. 21
  2. 30
  3. 40
  4. 49

The correct answer is: 49


    Given m over f equals 3 over 7 rightwards double arrow 7 m equals 3 f minus 1
    Population = 70 = 3 + f = 210 = 3 (m +f)
    3m + MF = 210,
    Substitute equation 1 in 2
    Population = 70 = 3 + f = 210 = 3 (m +f)
    3m + MF = 210,
    Substitute equation 1 in 2
    3m + (7m) = 210, 10m = 210, m = 21.
    Substitute m in equation 2
    (21) + f = 70, f= 49.
    So, option D.

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