#### shastri.chandoo

##### New member

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- Thread starter shastri.chandoo
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What have you tried? If you show us your work then we can see where you are making a mistake. We really hate showing work and it turns out that the student knew that part already.

I would make a table like this and fill it in!

__------------------Males------Female---------totals __

Adult-------------------- -----1/3

Child-------------85

totals--------------------------4/9

I would make a table like this and fill it in!

Adult-------------------- -----1/3

Child-------------85

totals--------------------------4/9

Last edited:

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1/3= adult F(y)

2/3= adult M(x).

85= young M.

5/9= × + 85

45= 9x + 765

9x= 765 - 45= 720

x = 80 = 2/3

y = 40 = 1/3

5/9 =80 + 85= 165

4/9 = 132

audience = 297

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5 adult females

10 adult males

71 female children

85 male children

155 adult females

310 adult males

161 female children

85 male children

390 adult females

780 adult males

302 female children

85 male children

Did I goof?

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How did you arrive at that?

Can you explain what you did above?5/9= × + 85

45= 9x + 765

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5/9= × + 85, x = 80 = 2/3 and y = 40 = 1/3 are not correct. Do you really think that 80 = 2/3 and that 40 = 1/3. I don't believe that you do, so why write it??????

1/3= adult F(y)

2/3= adult M(x).

85= young M.

5/9= × + 85

45= 9x + 765

9x= 765 - 45= 720

x = 80 = 2/3

y = 40 = 1/3

5/9 =80 + 85= 165

4/9 = 132

audience = 297

Here is an updated table:

Adult-------------2/3---------1/3=3/9

Child-------------85(1/3)------1/9

totals--------------------------4/9

So (1/3)m = 85. Then m= 255

Since male child is 85, we have adult male = 170

So total males is 255 which is (5/9)p. Hence p=459

Now f = 459-255= 204.

Please fill in the rest from here. PLEASE make sure that your equal signs are valid!

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At least one of us goofed (I hope it is not both of us) as I got a unique answerIt seems like this exercise has many possible answers. Here are just three examples:

5 adult females

10 adult males

71 female children

85 male children

155 adult females

310 adult males

155 female children

85 male children

390 adult females

780 adult males

302 female children

85 male children

Did I goof?

- Joined
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- 9

Ok. Thanks.5/9= × + 85, x = 80 = 2/3 and y = 40 = 1/3 are not correct. Do you really think that 80 = 2/3 and that 40 = 1/3. I don't believe that you do, so why write it??????

Here is an updated table:

------------------Males------Female---------totals

Adult-------------2/3---------1/3=3/9

Child-------------85(1/3)------1/9

totals--------------------------4/9

So (1/3)m = 85. Then m= 255

Since male child is 85, we have adult male = 170

So total males is 255 which is (5/9)p. Hence p=459

Now f = 459-255= 204.

Please fill in the rest from here. PLEASE make sure that your equal signs are valid!

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I looked at your posts, but I'm not sure what some symbols represent.… I got a unique answer

Maybe I'm misreading the op. Here's what I'm thinking, for two examples (from post #4).

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

5 female adults

10 male adults

71 female children

85 male children

There are 76 females, out of 171 people.

(4/9)(171) = 76

There are 15 adults; one-third are female.

(1/3)(15) = 5

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

155 female adults

310 male adults

161 female children

85 male children

There are 316 females, out of 711 people.

(4/9)(711) = 316

There are 465 adults; one-third are female.

(1/3)(465) = 155

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

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How did you arrive at (1/3)m = 85?5/9= × + 85, x = 80 = 2/3 and y = 40 = 1/3 are not correct. Do you really think that 80 = 2/3 and that 40 = 1/3. I don't believe that you do, so why write it??????

Here is an updated table:

------------------Males------Female---------totals

Adult-------------2/3---------1/3=3/9

Child-------------85(1/3)------1/9

totals--------------------------4/9

So (1/3)m = 85. Then m= 255

Since male child is 85, we have adult male = 170

So total males is 255 which is (5/9)p. Hence p=459

Now f = 459-255= 204.

Please fill in the rest from here. PLEASE make sure that your equal signs are valid!

The problem talks about audience and then a subset which is the adults.

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Can you show me your working?

5 adult females

10 adult males

71 female children

85 male children

155 adult females

310 adult males

161 female children

85 male children

390 adult females

780 adult males

302 female children

85 male children

Did I goof?

- # of people: x
- # of adults: a
- # of children: x - a

- # of females: 4/9x
- # of males: 5/9x

- # of female adults: 1/3a
- # of female children: 4/9x - 1/3a
- # of male adults: 2/3a = 5/9x - 85
- # of male children: 85

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I understand. the audience number is a function of the number of adults - Straight line equation x = (6/5)a + 153

Breakdown by sex:

- # of people: x
- # of adults: a
- # of children: x - a

Breakdown by age and sex:

- # of females: 4/9x
- # of males: 5/9x

The only new piece of information I gained from scouring the problem was \(\frac{2}{3}a = \frac{5}{9}x - 85 \implies x = \frac{6a}{5} + 153\). This, then, means that we can arbitrarily decide there were any number of adults (cleanly divisible by 5 of course, since there can't be fractional audience members) and find the corresponding number of total audience members.

- # of female adults: 1/3a
- # of female children: 4/9x - 1/3a
- # of male adults: 2/3a = 5/9x - 85
- # of male children: 85

This means that the examiner did left out the number of adults in the question.

Thank you and best regards.