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# In 1947, the percentage of women in the labor force who were married

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Math Expert
Joined: 02 Sep 2009
Posts: 51035
In 1947, the percentage of women in the labor force who were married  [#permalink]

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26 Oct 2017, 01:46
00:00

Difficulty:

35% (medium)

Question Stats:

46% (01:01) correct 54% (01:30) wrong based on 33 sessions

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In 1947, the percentage of women in the labor force who were married was about

(A) 28
(B) 33
(C) 38
(D) 50
(E) 65

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Senior SC Moderator
Joined: 22 May 2016
Posts: 2197
In 1947, the percentage of women in the labor force who were married  [#permalink]

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26 Oct 2017, 11:48
Bunuel wrote:

In 1947, the percentage of women in the labor force who were married was about

(A) 28
(B) 33
(C) 38
(D) 50
(E) 65

I think this question might be a little ambiguous. It seems to be asking for married women as a percentage of the whole labor force, men and women.

But the answer choices here do not support the number of married women as a percentage of men and women in the labor force, $$y$$*

The answer choices do present options for the number of married women as a percentage of all women in the labor force.

So the question must be asking what percent of women in the workforce were married. I think. Please correct me if I am mistaken.

On the graph, the number of married women is depicted by the middle strip, with hatch lines.

The number of married women in the labor force, is about (14 - 6) =
8 million married women

The number of all women in the workforce in 1947 is about 16 million.

$$\frac{8}{16} = .50 * 100 =$$
50 percent

**
1947: women = 28.1 percent of total labor force
1947: total # of women in labor force = about 16 million
1947: total # of married women in labor force: about 8 million

1947: total labor force?
16 million = 28.1 percent of total $$y$$
$$16 = .281y$$
$$\frac{16}{.281} = 57 million = y$$

Married women as a percentage of the whole labor force?
$$\frac{8}{57} = .14 * 100 =$$
14 percent. Not an option.
In 1947, the percentage of women in the labor force who were married &nbs [#permalink] 26 Oct 2017, 11:48
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