Results 1 to 3 of 3

Math Help - Word Problems

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    1

    Word Problems

    Please help me with these word problems! All i need is the equation, I will be able to solve the rest but I just cannot get the equations!

    1. In an office building, a room contains 54 chairs. The number of chairs per row is three less than twice the number of rows. Find the number of rows and the number of chairs per row.


    2. The area of a triangle is 51 square inches. One side of the triangle is one inch less than three times the length of the altitude to that side. Find the length of that side and the length of the altitude to that side.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by christina.brooks View Post
    Please help me with these word problems! All i need is the equation, I will be able to solve the rest but I just cannot get the equations!

    1. In an office building, a room contains 54 chairs. The number of chairs per row is three less than twice the number of rows. Find the number of rows and the number of chairs per row. ...
    Let r denote the number of rows and n the number of chairs per row.

    From the wording of the question you know:

    n = 2r -3 and

    n * r = 54

    Solve this system of equations. (For confirmation only: I've got 6 rows)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by christina.brooks View Post
    ...


    2. The area of a triangle is 51 square inches. One side of the triangle is one inch less than three times the length of the altitude to that side. Find the length of that side and the length of the altitude to that side.
    The area of a triangle is calculated by:

    a = \frac12 \cdot s \cdot h

    Let s denote the length of the side and h the length of the height then you know:

    s = 3h - 1

    Plug in this term into the equation of the area and you'll get:

    a = \frac12 \cdot (3h -1) \cdot h

    Plug in the value for a and solve for h

    (For confirmation only: I've got h = 6)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Problems with integration word problems
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 25th 2010, 06:39 PM
  2. Word Problems
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: November 6th 2009, 01:01 PM
  3. Word Problems
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: September 22nd 2008, 11:06 AM
  4. 3 word problems
    Posted in the Algebra Forum
    Replies: 11
    Last Post: April 25th 2008, 09:31 PM
  5. Word Problems
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 23rd 2007, 01:34 PM

Search Tags


/mathhelpforum @mathhelpforum