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4/5 of the women and of the men in a group speak Spanish.
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15 Jul 2019, 02:21
15 Jul 2019, 02:21
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Question Stats:
73% (01:35) correct
26% (02:24) wrong based on 41 sessions
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\(\frac{4}{5}\) of the women and \(\frac{3}{4}\) of the men in a group speak Spanish. If there are 40% as many men as women in the group, what fraction of the group speaks Spanish?
Give your answer as a fraction.
Give your answer as a fraction.
Show: ::
\(\frac{11}{14}\)
Re: 4/5 of the women and of the men in a group speak Spanish.
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22 Aug 2019, 23:17
22 Aug 2019, 23:17
2
Let us suppose there are 100 women as a result according to question nuumber of men will be \(40%\) of 100 = 40
Also \(\frac{4}{5}\) of Women speak spanish so\(\frac{4}{5}\)*100 = 80 women speak spanish
Similarly \(\frac{3}{4}\) Men speak spanish so \(\frac{3}{4}\)*40 = 30 Men speak spanish
Total number of people who speak spanish = 110
Total number of people in the group = 140
Therefore the fraction of people who speak spanish among all is given by \(\frac{110}{140}\) =\(\frac{11}{14}\)
Also \(\frac{4}{5}\) of Women speak spanish so\(\frac{4}{5}\)*100 = 80 women speak spanish
Similarly \(\frac{3}{4}\) Men speak spanish so \(\frac{3}{4}\)*40 = 30 Men speak spanish
Total number of people who speak spanish = 110
Total number of people in the group = 140
Therefore the fraction of people who speak spanish among all is given by \(\frac{110}{140}\) =\(\frac{11}{14}\)
Re: 4/5 of the women and of the men in a group speak Spanish.
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01 Oct 2019, 02:03
01 Oct 2019, 02:03
1
Translate each part into math:
S = # of people who speak Spanish in the group
W = # of women who speak Spanish
M = # of men who speak Spanish
Group = M + W
1) 4/5 of the women and 3/4 of the men in a group speak Spanish --------------> S = 4/5 W + 3/4 M
2) If there are 40% as many men as women in the group -----------> M = 40% W
3) what fraction of the group speaks Spanish? -------------> what fraction = X ; of = * ------------> X (M + G) = 4/5 W + 3/4 M ---------> M = 0.4 W ---------> X = 11/14
S = # of people who speak Spanish in the group
W = # of women who speak Spanish
M = # of men who speak Spanish
Group = M + W
1) 4/5 of the women and 3/4 of the men in a group speak Spanish --------------> S = 4/5 W + 3/4 M
2) If there are 40% as many men as women in the group -----------> M = 40% W
3) what fraction of the group speaks Spanish? -------------> what fraction = X ; of = * ------------> X (M + G) = 4/5 W + 3/4 M ---------> M = 0.4 W ---------> X = 11/14
