Problema Solution

The number of woman attending a conference was three less than twice the number of man. If 51 people attended the workshop, how many were women?

Answer provided by our tutors

"The perimeter of a rectangle is 28 feet."

2L + 2W = 28


"The length is 4 feet less than two times the width"

L = 2W - 4


By substitution,

2(2W - 4) + 2W = 28

4W - 8 + 2W = 28

6W = 36

W = 6


L = 2(6) - 4

= 8

:::::

"The number of women was three less than twice the number of men."

w = 2m - 3


"51 people attended the workshop"

w + m = 51


by substitution,

(2m - 3) + m = 51

3m = 54

m = 18

w = 51 - 18 = 33