Results 1 to 2 of 2

Math Help - Algebra coin problem

  1. #1
    Junior Member
    Joined
    Jan 2006
    From
    Oakland
    Posts
    55

    Exclamation Algebra coin problem

    A collection of 70 coins consisting of dimes, quarters, and half dollars has a value $17.75. There are three times as many quarters as dimes. Find the number of each kind of coin.
    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 Nimmy View Post
    A collection of 70 coins consisting of dimes, quarters, and half dollars has a value $17.75. There are three times as many quarters as dimes. Find the number of each kind of coin.
    Let h, q, and d denote the number of half-dollars, quarters and dimes.

    Then what you are told is:

    h + q + d = 70,

    50*h + 25*q + 10*d = 1775

    and:

    q = 3*d

    Substitute the last of these into the first two which will give you a pair
    of simultaneous equations in two variables which you then need to solve.

    The attachment shows QuickMath's solution

    RonL
    Attached Thumbnails Attached Thumbnails Algebra coin problem-gash.jpg  
    Last edited by CaptainBlack; October 23rd 2006 at 11:57 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. coin problem
    Posted in the Algebra Forum
    Replies: 3
    Last Post: May 19th 2010, 09:33 AM
  2. Coin problem
    Posted in the Statistics Forum
    Replies: 1
    Last Post: February 5th 2010, 01:07 PM
  3. coin-word problems in algebra
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 29th 2009, 06:46 AM
  4. Coin problem.
    Posted in the Statistics Forum
    Replies: 1
    Last Post: April 1st 2009, 04:51 AM
  5. Coin Problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 20th 2009, 06:03 PM

Search Tags


/mathhelpforum @mathhelpforum