# 1/9 of men and 1/3 of women are vegetarians. There are 84 people total. How many men are vegetarians?

Is this question solvable??

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no its not. need to know how many vegetarians in total then can be solved.

Technically not solvable as an algebra equation since there are several correct answers possible:

1) 2 men are vegetarians, That means 2 of 18 (1/9). That leaves 66 women, 1/3 of which (22) could be vegetarians.

2). 3 men are vegetarians. That means 3 of 27 (or 1/9). That leaves 57 women, 1/3 of which (19)could be vegetarians.

3) 4 men are vegetarians. That means 4 of 36 (or 1/9). That leaves 48 women, 1/3 of which (16)could be vegetarians

4) 5 men are vegetarians. That means 5 of 45 (or 1/9). That leaves 39 women, 1/3 of which (13)could be vegetarians

5) 6 men are vegetarians. That means 6 of 54 (or 1/9). That leaves 30 women, 1/3 of which (10)could be vegetarians

6) 7 men are vegetarians. That means 7 of 63 (or 1/9). That leaves 21 women, 1/3 of which (7)could be vegetarians

7) 8 men are vegetarians. That means 8 of 72 (or 1/9). That leaves 12 women, 1/3 of which (4) could be vegetarians

8) 9 men are vegetarians. That means 9 of 81 (or 1/9). That leaves 3 women, 1/3 of which (1)could be vegetarians

You have the total number of people and you have the fraction of how many men and women are vegetarian. But to answer the question, you need to know how many women or men there are in the 84. Since that information is not there, you can't answer it.

1/9 of 84 is not correct, because you don't know how many men there are in total.

The question is not solvable because you're missing the break down of the group of 84 people into males and females. If you knew that, then you could take the number of males and find out how many 1/9 of them equals.

• Anonymous

In order to solve this problem you need to know the number of men and women in that group of 84 people. For instance, if all of the 84 people are men, then the answer would be approximately 9. However, if they are all women, the answer would be 28. It is impossible to solve the problem as written.

Source(s): I am a school teacher.

9 men and 1 woman

• Anonymous

First you need to know how many of the 84 people are men. Then it's cake... or pie...

You need one more piece of info to solve this: how many vegetarians there are, or how many men there are, or how many women there are.

no it is not solvable,

Do you know the hardest part about eating vegatables?

The wheelchair!