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by Aristocles on January 29th, 2007

Aristocles

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The ratio one to ten (1:10) means "one for every ten." Isn't that the same as "one in eleven"?

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Answers. 17 helpful answers below.

  • by Aristocles on January 29th, 2007

    Aristocles

    I wasn't satisfied with any answer. I checked some math sites and wikipedia. Here is my claim.

    From wikipedia.org upon searching "ratio":

    "If a school has a 20:1 student-teacher ratio, there are twenty times as many students as teachers."

    Okay, so 20:1 means "20 to 1" or "20 for every 1." So if you take a group of 21 people from that school, there will be 20 students plus 1 teacher.

    Now if it said "1 in 20 people at the school are teachers," then in that group of twenty there is 1 teacher. (1 IN 20) So in that case, 19 in that 20 are students and 1 in that 20 is a teacher. Now that we've said "1 in 20" there are only 19 times as many students as teachers.

    Therefore, a ratio of 1:20 means "1 for every 20" and NOT "1 in 20." The problem is the "IN", which everyone here has claimed is acceptable when using to word ratios.

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  • by Im Alec has abandoned this account on January 29th, 2007

    Im Alec has abandoned this account

    Normally, the ratios are not used for the same thing. So a hill that is 1:10 upwards rises 1 for upwards for every 10 foot along. 1:10 issue of stock means 1 new stock for every 10 old stock.

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  • by LynfromNM on January 29th, 2007

    LynfromNM

    No, it means 1 in every 10. For example, you have 10 candies, and 1 of those 10 is chocolate. That can be expressed as 1:10 chocolate or 1/10 chocolate.

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  • by Mathswizard on November 25th, 2010

    Mathswizard

    You lot are far too confusing!

    1/10 = fraction

    Fraction: 1/10
    Decimal: 0.10 (1 divided by 10)
    Percentage: 10% (0.10 x 100)

    1:10 = ratio

    Fraction: 1/11 (1/(1 + 10))
    Decimal: 0.09 (1 divided by 11)
    Percentage 9% (0.09 x 100)

    Conclusion - 1/10 and 1:10 are different!

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  • by benjamin123 on January 29th, 2007

    benjamin123

    Ok.. so in statistical probability theory 1:10 is almost always the way to refer to ODDS ratios as opposed to a probability which is almost always written 1/10.

    So if i roll a six sided die the probability (p) that a 1 comes up is 1/6. The odds are defined as p / ( 1 - p). So in this case it would be (1/6) / (1- (1/6)) which is 1/5. So the odds ratio of me rolling a 1 is actually 1:5.

    The place you run into this most often in ever day life is in gambling. Bookmakers almost always list the odds of a situation. If i bet on even odds that a 1 is rolled and I win I would get back my original 1 and an additional 5. So if you be at 1:100 odds and win, you'll end the day with your original 1 + 100 dollars extra.

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  • by tjatherton on January 29th, 2007

    tjatherton

    It means for every 10 units of something, you add one unit of something else. So yes it is 1/11th.

    If it is stated that there are 1 in every 10, then it means one in every 10 or 1/10th.
    Depends on how it is stated, if you are comparing or adding to a mixture.

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  • by Firebrand on January 29th, 2007

    Firebrand

    No it means 1 in EVERY Ten 1-10

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  • by DavidHume on January 29th, 2007

    DavidHume

    No, as that would be 1:11.

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  • by castratedcarl on June 28th, 2011

    castratedcarl

    1:10 = 1/(1+10) = 9.09%

    10:1 = 10/(1+10) = 90.91%

    If I had 1 apple and 10 oranges, how much fruit do I have? 11. What is the ratio of apples to oranges? 1:10. What fraction are apples in the group of fruit? 1/11. What percentage of apples in the group of fruit? 9.09% What fraction are oranges in the group of fruit? 10/11. Percentage? 90.91%.

    I mix chocolate in milk in a 2:5 ratio. What fraction of the chocolate milk is milk? 5/7. What fraction is chocolate? 2/7. You can then convert the fractions to percentages by dividing.

    Ratio does not mean one IN the number, else the fraction for milk in chocolate milk would be 5/5 or 100% milk, which is not the case. You add 500 ml of milk and 200 ml of chocolate and you have 700 ml of chocolate milk.

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  • by whateverwhatever on December 12th, 2010

    whateverwhatever

    OKAY, I looked these pathetic things up because im playing a game called "METAL GEAR ONLINE" Trying to achieve a rank. I need a 6-1 KDR (Kill Death Ratio) So... If ANYONE can help me with that. That'd be greatly appreciated..

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  • by Marky Mark on November 25th, 2010

    Marky Mark

    Yes, so what's your point?

    If you divided a cake between two people in a ratio of 1:10 you'll cut the cake into 11 parts not 10 (...because 1 person must get 1 piece of cake and the other must get 10.)

    1/10 is not the same thing as 1:10

    ==========

    Another example: Divide 20 apples between John and Anne in a ratio of 2:3 respectively. How many apples does each person get?

    2+3=5

    therefore divide 20 by 5
    =4

    now say 2X4
    =8 (John's share)

    then say
    3X4
    =12 (Anne's share)

    Test your answer: 12+8=20 apples → correct. bada bing bada boom!

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  • by Possum on June 28th, 2011

    Possum

    Yes

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  • by Lucky on July 31st, 2009

    Lucky

    No. As stated, the ratio of 1:10 is a proportion. The ratio or proportion 1:10 means 1 divided by 10 and the quotient is .1, or 10%.
    The ratio of 1:11 is restated as 1 divided by 11 and the quotient is .090909..., or 9.09%.
    To help understand it better, I would much rather place a bet on 1:10 than 1:11, the expected payoff is better by 9.1%.

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  • by Tubs on July 6th, 2010

    Tubs

    You do not add the two parts! for every 20 students you have 1 teacher. 20:1 you do not add or subtract from either side, you are just stating a relationship between one quantity and the other, expressed as a ratio.

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  • by Simona on July 31st, 2009

    Simona

    Just as 2:1 means there are 3 parts overall, 1:1 means there are two parts overall. 10:1 means there are 11 parts overall. If it were not so, then 1:1 would be redundant and not even worth expressing.

    Trust me, I've got a Physics degree and just consulted with a Chemistry Ph.D.

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  • by Ironkettle on July 31st, 2009

    Ironkettle

    Oh, I get the question. "to" and "in" that is the context here. one to ten means. For every one there is ten of something else. The total would be eleven. "In" is a collective term. So, within that eleven there one that contrasts the other ten. Yeah, they mean the same thing. took my awhile to think about it. Thanks for the enlightening answers and questions.

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  • by Abbyguy on January 29th, 2007

    Abbyguy

    You are spending way to much time trying to make something out of nothing. If it were as you said all math would change as we know it. Accept it as it is and get on to more important things.

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