Predicting the winner with percentages

[Zelda22]

I'm unsure if y reasoning for this question is correct.
Please help. Thanks.

Blue votes
0.04 + 0.16 + x (middle class votes)
0.2 + x (middle class votes)

Green votes
0.4 + 0.02 + y (middle class votes)
0.42 + y (middle class votes)

green votes calculated using
-the total votes of lower class 0.54= 0.10+0.04+x
0.54-0.10-0.04= x
0.4=x (green votes lower class)

-the total cotes for upper class 0.25= 0.07+0.16+x
0.25-0.07-0.16=x
0.02=x (green votes upper class)

Orange votes
0.10 + 0.07 + z (middle class votes)
0.17 + z (middle class votes)

so far,

Blue party 0.2= 20% + x (middle class votes)
Green party 0.42= 42 % + y (middle class votes)
Orange party 0.17= 17% + z (middle class votes)

I don't know the middle-class votes, but I know the total is 0.21= 21% ( by subtracting the total of the lower class and the upper class from the total of votes,
1-(0.54+0.25)= 0.21) which is less than the votes that Blue and Orange need to win.
Therefore, I believe the Green party won.

 

[BigBeachBanana]

It appears this is a follow-up question from your previous thread. What are the percentages of votes for Blue, Green, and Orange? Who has the most share of the voters?

 

[Zelda22]

This was before the preview question. So I suppose to answer with the information provided there.

 

[BigBeachBanana]

This was before the preview question. So I suppose to answer with the information provided there.

Your logic seems correct, and the completed table confirms it. However, you're repeatedly using the variable x for multiple different FIND. I would avoid this as it creates more confusion. There are 26 letters in the alphabet.

 

[Dr.Peterson]

This was before the previous question. So I suppose to answer with the information provided there.

So, that previous question included additional information not given here, and you can't fill in all of the unknown numbers at this point. It would have been very helpful if you had shown the entire problem at once, or at least told us about the relationship!

I agree with your conclusion; I'm not sure I follow all the details of your thinking, but as I understand it, you have this:


Here is how I would state the conclusion:

From the second line, we know that x+y+z=0.21, the last line gives the same result.

None of x, y, and z can be greater than 0.21; from this,

0.20 <= blue = 0.20+x <= 0.41​

0.42 <= green = 0.42+y <= 0.62​

0.17 <= orange = 0.17+z <= 0.38​

Clearly blue < green and orange < green, so green wins.

 

[Zelda22]

So, that previous question included additional information not given here, and you can't fill in all of the unknown numbers at this point. It would have been very helpful if you had shown the entire problem at once, or at least told us about the relationship!

I agree with your conclusion; I'm not sure I follow all the details of your thinking, but as I understand it, you have this:

View attachment 31922
Here is how I would state the conclusion:

From the second line, we know that x+y+z=0.21, the last line gives the same result.

None of x, y, and z can be greater than 0.21; from this,

0.20 <= blue = 0.20+x <= 0.41​

0.42 <= green = 0.42+y <= 0.62​

0.17 <= orange = 0.17+z <= 0.38​

Clearly blue < green and orange < green, so green wins.

Thank you

 

[Zelda22]

Thank you, these are two separate questions, This was the first question, but I didn't sent it in yet, just wanted double check. Thanks again for your help.