Verhältnis aufgaben mathe?
The numerical ratio of female and male employees in the IT company Prospero Ltd. is 2: 5. After an additional 6 women have been hired, the ratio is 7:10.
How many persons are employed at Prospero after the 6 women have been hired?
Antwortmöglichkeiten:
28
32
34
36
kann mir da jemand helfen
4 Antworten
You know (f: female, m: male),
f / m = 2 / 5,
(f + 6) / m = 7 / 10.
This is a linear system of equations,
f – 2/5 m = 0,
f – 7/10 m = –6,
wich you can solve (in instance with the Gaussian algorithm). The solution ist
f = 8 and m = 20.
So you have to tick 28 + 6 = 34.
28 + 6 = 34 Personen
(1) w / m = 2 / 5
(2) (w + 6) / m = 7 / 10
Löse:
Kontrolle: Da sollte rauskommen:
Und damit
x entspricht Frauen
y entspricht Männern
x/y=2/5
(x+6)/y=7/10
x=2/5y
(2/5y+6)/y=7/10
2/5+6/y=7/10
6/y=3/10
6=3/10y
y=20
x/20=2/5
x=2/5*20
x=8
Personen=x+6+y=8+6+20=34
34 Personen
Kleiner Hinweis: Die Frage enthält die Formulierung "... after the 6 women have been hired".