Can someone help me with a math (fraction) question?

Caporegime
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How about MASSBOD


ronnie2.jpg
 
Soldato
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Hi,

This is probably really stupid; but its really annoying me after my wife asked me (I am the worst at math).

Question:

On a day where all premier league teams kick off at the same time, 3/5 of the goals in the first half were scored by teams in the top 6. In the second half the teams outside the top 6 scored 13/20 of the goals.

What fraction of the total goals did the top 6 teams score?

This is impossible to answer without knowing the total number of goals scored in each half. If 100 goals were scored in the first halves and 400 goals in the second halves, then that would be 500 goals in total, but 1/5 of goals in the first half would not equal 1/5 of goals in the second half. Therefore you cannot just add the two fractions together and get the fraction for both.
 
Soldato
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3/5 = 12/20 scored first half
7/20 scored second half

12/20 + 7/20 = EveryHolesAGoal

LOL at the person boasting on the forums about how they taught themselves particle physics rather than playing video games like other losers, and bemoaning how "modern interpretations of the Copehagen Interpretation weren't taught" getting basic maths questions wrong.

Shout out to dl8860 who is the only other person here who noticed the question couldn't be correctly answered.
 
Soldato
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Jesus H Christ this thread is sad. :(

Some people here must think that 1/2 + 1/2 = 2/4. What's 2/4? Oh yeah, it's 1/2. People here are literally saying 1/2 + 1/2 = 1/2 without realising.
 
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If you read 3/5 as three goals of five scored in total in the frst half, rather than three fifths of some unknown quantity, it works. The problem in this case would then have been the wording of the question.
 
Soldato
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19/40 if we're just taking the fractions as they are

3/5 in first half from top 6
7/20 in second half from top 6

to make 3/5 equivalent to 7/20 we multiply by 4 = 12/20

12 + 7 = 19

20 + 20 = 40

19/40

Jesus H Christ this thread is sad. :(

Some people here must think that 1/2 + 1/2 = 2/4. What's 2/4? Oh yeah, it's 1/2. People here are literally saying 1/2 + 1/2 = 1/2 without realising.

That only works if you're taking 2 fractions from the same whole, his question takes a whole and splits it into 2 halves essentially making 2 different wholes where one whole is /5 and the other is /20 but we can still use common denominator to find and add the 2 wholes together to make the original whole
 
Caporegime
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Without knowing the ratio of first half goals to second half goals, you can't answer this question.

Take an extreme example, say zero first half goals are scored, and 20 second half goals are scored. Therefore the top 6 teams scored 7/20 of all goals.

Take the reverse with 5 in the first half and zero in the second half, and top 6 teams scored 3/5 of all goals.

Both are possible events and give different answers. Therefore the number of goals scored in each half (or at least the ratio between them) is needed to answer the question.

Surely given the fractions, it is possible to say that the number of goals scored in any half are a multiple of the denominator.

Therefore it doesn't matter how many goals are scored in either half, just the relative fraction of them that were scored by the top teams, as the question wants an answer that is a fraction (eg. doesn't care about the actual number of goals scored).
 
Soldato
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19/40 if we're just taking the fractions as they are

3/5 in first half from top 6
7/20 in second half from top 6

to make 3/5 equivalent to 7/20 we multiply by 4 = 12/20

12 + 7 = 19

20 + 20 = 40

19/40



That only works if you're taking 2 fractions from the same whole, his question takes a whole and splits it into 2 halves essentially making 2 different wholes where one whole is /5 and the other is /20 but we can still use common denominator to find and add the 2 wholes together to make the original whole
please, just stop.
 
Soldato
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Surely given the fractions, it is possible to say that the number of goals scored in any half are a multiple of the denominator.

Therefore it doesn't matter how many goals are scored in either half, just the relative fraction of them that were scored by the top teams, as the question wants an answer that is a fraction (eg. doesn't care about the actual number of goals scored).

Nope, you can't compare the fraction of total from the first half with the fraction of total from the second half without knowing how much of the total was in each half.

Here are some examples of the number of goals from each half:

6/10 + 7/20 = 13 goals scored out of a total of 30 (43%)

3/5 + 21/60 = 24 goals scored out of a total of 65 (37%)

6/10 + 70/200 = 76 goals scored out of a total of 210 (36%)

12/20 + 14/40 = 26 goals scored out of a total of 60 (43%)

All of these examples have a number of goals each half which simplify down into the same 2/5 and 7/20 fractions but none of them are equal to 19/40 (47%)
 
Soldato
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3/5 of the goals in the first half were scored by teams in the top 6. In the second half the teams outside the top 6 scored 13/20... This isn't even fractions really, it's just addition...

It's a bit of a trick question because you can wrongly assume that 3/5 is three fifths of x number of goals, when it clearly isn't. It's 3 of the 5 goals. Without thinking of this way the question makes no sense without a total number of goals for each half.

3 goals where scored by top 6 teams in the first half. 7 scored in the second. So 10 goals out of the 25 scored were scored by a top 6 team. 10/25. Calling it 2/5 is imprecise in this context.
 
Soldato
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Surely given the fractions, it is possible to say that the number of goals scored in any half are a multiple of the denominator.

Therefore it doesn't matter how many goals are scored in either half, just the relative fraction of them that were scored by the top teams, as the question wants an answer that is a fraction (eg. doesn't care about the actual number of goals scored).

It does matter. Just imagine multiple scenarios where the number of goals in the first half increases. The more it increases, the closer the top teams' total fraction of goals matches the first half's fraction since the second half's goals become ever more insignificant. ie for a million goals in the first half (and a much smaller amount in the second half), the top teams total fraction will be pretty much 3/5.
 
Soldato
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I don't think you understand the question or Math

It's asking you to workout what total 3/5 of 1/2 is with 7/20 of 1/2

You need a common denominator in order to add the 2 fractions together and to make 1/1 where the 1 whole = 40

Sure, now say that to someone without a maths PhD.

Just stop adding denoms like it's a thing.
 
Soldato
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Oh god, this thread haha

3 goals out of 5

7 goals out of 20

That makes 10 goals scored by the top 6 out of 25 goals.

10/25 = 40%

For those saying that the answer is 19/40, can you tell me how many total goals were scored and how many total goals did the top 6 score?
 
Soldato
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Oh god, this thread haha

3 goals out of 5

7 goals out of 20

That makes 10 goals scored by the top 6 out of 25 goals.

10/25 = 40%

For those saying that the answer is 19/40, can you tell me how many total goals were scored and how many total goals did the top 6 score?
You're treating the 3/5 and 13/20 as actual numbers rather than fractions. If you interpret it that way then yeah you're right.

LOL at the person boasting on the forums about how they taught themselves particle physics rather than playing video games like other losers, and bemoaning how "modern interpretations of the Copehagen Interpretation weren't taught" getting basic maths questions wrong.
Shout out to dl8860 who is the only other person here who noticed the question couldn't be correctly answered.

Munches internet cookie
 
Caporegime
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How are people reading the OP's question as numbers of goals? he has written them as fractions not "3 out of 5" and "13 out of 20".
 
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