sandy wrote:
In a group of adults, the ratio of women to men is 5 to 6, while the ratio of left-handed people to right-handed people is 7 to 9. Everyone is either left- or right-handed; no one is both.
Quantity A |
Quantity B |
The number of women in the group |
The number of left-handed people in the group |
The ratio of women to men is 5 to 6So, out of every 11 people, 5 are women and 6 are men.
So, 5/11 of the people are women (and 6/11 of the people are men)
If T = the TOTAL number of people, then \(\frac{5}{11}T=\) the number of women in the group
The ratio of left-handed people to right-handed people is 7 to 9So, out of every 16 people, 7 are left-handed and 9 are right-handed.
In other words, 7/16 of the people are are left-handed (and 9/16 of the people are are right-handed)
If T = the TOTAL number of people, then \(\frac{7}{16}T=\) the number of left-handed people in the group
We get:
Quantity A: \(\frac{5}{11}T\)
Quantity B: \(\frac{7}{16}T\)
Since we know T is POSITIVE, we can safely divide both quantities by T to get:
Quantity A: \(\frac{5}{11}\)
Quantity B: \(\frac{7}{16}\)
At this point, it's probably easiest to convert each fraction to a decimal to get:
Quantity A: ≈ 0.45
Quantity B: ≈ 0.44
Answer: A
Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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