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10 Nov 2019, 13:55
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Hi there,
I need a little bit of assistance with the following questions:
1. The ratio of boys to girls in a classroom is 5 to 7. If one student is select at random, what is the probability that this student is a boy?
2. Reduce the following ration 15!:14!
3. The ration of pants to shirts in Raj's closet is 4:5 and Raj has fewer than 47 items in his closet. How many items does Raj's closet contain?
I need a little bit of assistance with the following questions:
1. The ratio of boys to girls in a classroom is 5 to 7. If one student is select at random, what is the probability that this student is a boy?
2. Reduce the following ration 15!:14!
3. The ration of pants to shirts in Raj's closet is 4:5 and Raj has fewer than 47 items in his closet. How many items does Raj's closet contain?
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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10 Nov 2019, 20:16
Kudos
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I need a little bit of assistance with the following questions:
1. The ratio of boys to girls in a classroom is 5 to 7. If one student is select at random, what is the probability that this student is a boy?
You can take the numbers as 5x and 7x, so total strength is 5x+7x=12x.
Probability of selecting 5x out of 12x is 5x/12x=5/12
2. Reduce the following ration 15!:14!
15!=15*14*13*....*2*1 while 14!=14*13*12*...*2*1
So 15!=15*14!
15!:14!=15*14!:14!=15:1
3. The ration of pants to shirts in Raj's closet is 4:5 and Raj has fewer than 47 items in his closet. How many items does Raj's closet contain?
Let pants and shirts be 4x and 5x, so total items are 4x+5x=9x<47....x<5.2..
x can be 1,2,3,4,5, so total items can be 9, 18, 27, 36 or 45
1. The ratio of boys to girls in a classroom is 5 to 7. If one student is select at random, what is the probability that this student is a boy?
You can take the numbers as 5x and 7x, so total strength is 5x+7x=12x.
Probability of selecting 5x out of 12x is 5x/12x=5/12
2. Reduce the following ration 15!:14!
15!=15*14*13*....*2*1 while 14!=14*13*12*...*2*1
So 15!=15*14!
15!:14!=15*14!:14!=15:1
3. The ration of pants to shirts in Raj's closet is 4:5 and Raj has fewer than 47 items in his closet. How many items does Raj's closet contain?
Let pants and shirts be 4x and 5x, so total items are 4x+5x=9x<47....x<5.2..
x can be 1,2,3,4,5, so total items can be 9, 18, 27, 36 or 45
11 Nov 2019, 13:05
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kevinkhan
If you're stuck, one place to start is by rewriting what they're asking you for.
The probability that a student is a boy, is the following:
number of boys / total number of students
You don't know the exact number of boys, or the exact number of students. However, you do know that 5 out of every 12 students are boys (because for every 5 boys, there are 7 girls - so, for every 5 boys, there are a total of 5+7 = 12 students). Therefore, this fraction is 5/12.
Quote:
To reduce a ratio, divide each part of the ratio by the same number.
To reduce a ratio as much as possible, keep dividing until you can't find any more common factors to divide by.
The ratio you have here is really this:
15x14x13x12x...x3x2x1 : 14x13x12x...x3x2x1
The two sides of the ratio have a LOT of common factors you could divide by: you can divide by 14, by 13, by 12, and so on. Does that get you unstuck?
Quote:
It's hard to say! Assuming the only items in the closet are pants and shirts (that is, he doesn't have any jackets, belts, etc.) - then, here's how you'd start with this. You know that for every 4 pants, there are 5 shirts, for a total of 9 items. So, the total number of items would have to be a multiple of 9. You can confirm this by trying some numbers:
4 pants and 5 shirts = 9 items = multiple of 9
40 pants and 50 shirts = 90 items = multiple of 9
8 pants and 10 shirts = 18 items = multiple of 9
and so on.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
