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

Answer 1

[TBDRM]

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.

Woher ich das weiß: Hobby – Mathematik (u. Physik)

Comments

[evtldocha]

So you have to tick 28.

Kleiner Hinweis: Die Frage enthält die Formulierung "... after the 6 women have been hired".

[TBDRM]

@evtldocha

Ups, danke.

Answer 2

[gauss58]

28 + 6 = 34 Personen

(1) w / m = 2 / 5

(2) (w + 6) / m = 7 / 10

Answer 3

[evtldocha]

Löse:

$\left(1\right)\ \frac{f}{m}=\frac{2}{5}$ $\left(2\right)\ \frac{f+6}{m}=\frac{7}{10}$

Kontrolle: Da sollte rauskommen: $m=20;\ f=8$

Und damit $f+6+m=\ 8+6+20\ =34$

Answer 4

[NorbertWillhelm]

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

Woher ich das weiß: Hobby