GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
4/5 of the women and of the men in a group speak Spanish.
[#permalink]
15 Jul 2019, 02:21
15 Jul 2019, 02:21
2
Expert Reply
5
Bookmarks
00:00
Question Stats:
75% (01:35) correct
25% (02:27) wrong based on 40 sessions
Hide Show timer Statistics
\(\frac{4}{5}\) 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.
[#permalink]
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.
[#permalink]
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
