Results 1 to 6 of 6

Math Help - Simple stuff :)

  1. #1
    Member
    Joined
    Apr 2006
    Posts
    85

    Simple stuff :)

    XD

    Hopefully you guys can help me on some math again :P.

    Few questions...

    1. For two consecutive integers the sum of the smaller and twice the larger is 38. What are the integers?

    2. For two consecutive integers, the sum of the larger and three times the smaller is 242. Find the integers.

    3. The sum of three numbers is 74. The second number is five more than the first, and the third number equals than sum of the first two. Find the numbers.

    4. Mrs. Dillabough gave her children $2.50 in nickels, dimes, and quarters. The number of dimes was twice the number of nickels. The number of quarters was twice the number of dimes. How many of each kind of coin did Mrs. Dillabough give to her children?

    5. A piece of wood 22 feet in length is cut in two in such a way that the longer piece is 2 feet less than twice the length of the shorter piece. Find the length of the shorter piece.

    Guys, take your time this time :P. I finally got around to doing my homework early, so that leaves more time for you guys (lol). Need this for this Friday, thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Rocher View Post
    XD

    Hopefully you guys can help me on some math again :P.

    Few questions...

    1. For two consecutive integers the sum of the smaller and twice the larger is 38. What are the integers?
    Let the numbers be n and n+1, the you are told that:

    n+2(n+1)=38,

    or:

    3n+2=38,

    so n=12 ans n+1=13.

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Rocher View Post
    3. The sum of three numbers is 74. The second number is five more than the first, and the third number equals than sum of the first two. Find the numbers.
    Let the numbers be a, b and c.

    We are told that a+b+c=74, b=a+5, and that c=a+b

    Substitute c+a+b into the first to obtain: 2(a+b)=74, or:

    a+b=37

    sunbstitute b=a+5 in to this to get:

    2a+5=37,

    or a=16. use this in b=a+5 to get b=21, then from the first equation we have:

    16+21+c=74,

    so c=37.

    RonL
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Apr 2006
    Posts
    85
    Thanks, now just need 2,4, and 5.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Rocher View Post
    2. For two consecutive integers, the sum of the larger and three times the smaller is 242. Find the integers.
    This is just like the first one:

    Let the numbers be n and n+1. Then we are told that:

    (n+1)+3n=242.

    Which you are expected to solve for n, to find n and n+1.

    RonL
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Rocher View Post
    4. Mrs. Dillabough gave her children $2.50 in nickels, dimes, and quarters. The number of dimes was twice the number of nickels. The number of quarters was twice the number of dimes. How many of each kind of coin did Mrs. Dillabough give to her children?
    Let the number of nickels be n, of dimes be d, and quarters be q.

    Then:

    25q+10d+5n=250

    d=2n

    q=2d.

    So we have: q=4n, and so substituting what we know about q and d in terms
    of n back into the first equation we get:

    100n + 20n + 5n=250,

    or 125n=250,

    so n=2, from which you can find d and q.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 8
    Last Post: September 3rd 2009, 12:38 PM
  2. Simple-ish number theory stuff I think... please help!
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: April 14th 2009, 07:46 PM
  3. [SOLVED] help please simple stuff but got stucked:((
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 27th 2007, 03:29 PM
  4. [SOLVED] simple stuff but got stucked
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 27th 2007, 03:43 AM
  5. Simple Algebra 1 stuff
    Posted in the Algebra Forum
    Replies: 4
    Last Post: June 6th 2006, 09:15 PM

Search Tags


/mathhelpforum @mathhelpforum