Results 1 to 5 of 5

Math Help - Chewing Gum and Miles ?

  1. #1
    Newbie
    Joined
    Sep 2011
    Posts
    2

    Question Chewing Gum and Miles ?

    Well I'm not sure if I have the correct answer myself so any help would be nice.

    How many miles would it be if I had 30 million sticks
    of gum ....each stick of gum is 3 and half inches long ?

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,527
    Thanks
    773

    Re: Chewing Gum and Miles ?

    What answer did you get and how did you get it?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2011
    Posts
    2

    Re: Chewing Gum and Miles ?

    I just multiplied 30 mil by 3.5 which =105 million inches and knew there were 63, 360 inches in a mile and went from there by dividing 63,360 by 105 million.

    I'm sure there is a shorter way ..correct ?

    My answer was 1657.196 miles.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,527
    Thanks
    773

    Re: Chewing Gum and Miles ?

    Quote Originally Posted by Bluerain View Post
    and went from there by dividing 63,360 by 105 million.
    The other way around.

    Quote Originally Posted by Bluerain View Post
    I'm sure there is a shorter way ..correct ?
    No, that's pretty much how it should be done.

    Quote Originally Posted by Bluerain View Post
    My answer was 1657.196 miles.
    I agree, except that the last digit should be 7 due to rounding (since the following digit is 9 in my calculation). If the first thrown away digit is >= 5, the last remaining digit is increased by 1.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1

    Re: Chewing Gum and Miles ?

    Quote Originally Posted by Bluerain View Post
    I just multiplied 30 mil by 3.5 which =105 million inches and knew there were 63, 360 inches in a mile and went from there by dividing 63,360 by 105 million.

    I'm sure there is a shorter way ..correct ?

    My answer was 1657.196 miles.
    Nope, that's the quickest way to do it.

    For notation's sake I will write 105,000,000 = 1.05 \cdot 10^8

    1.05 \times 10^8 \text{ in} \times \dfrac{1 \text{ ft}}{12 \text { inch}} \times \dfrac{1 \text{ yd}}{3 \text{ ft}} \times \dfrac{1 \text{ mi}}{1760 \text{ yd}}

    Note that all the units except miles cancel. This is the basis of unit analysis and I find it the easiest way of figuring out whether to multiply or divide when converting units (I usually work in metric myself)

    After a bit of simplifcation of both units and numbers we get
    1.05 \times 10^8 \times \dfrac{1}{12 \times 3 \times 1760} \text{ miles} = 1657 \text{ miles}

    (IMO the nearest integer is close enough for rounding purposes unless the question says something else)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Miles per Hour into miles per second
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 13th 2011, 02:53 PM
  2. miles = ? feet
    Posted in the Algebra Forum
    Replies: 4
    Last Post: May 8th 2010, 05:17 PM
  3. How Many Miles?
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 12th 2009, 11:37 AM
  4. Nautical Miles
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 18th 2008, 08:54 PM
  5. miles/hour to miles/minute i don't understand
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 11th 2008, 04:56 PM

Search Tags


/mathhelpforum @mathhelpforum