Results 1 to 5 of 5

Math Help - Story Problems!

  1. #1
    Junior Member
    Joined
    Sep 2007
    From
    Oregon, West Coast ^_^
    Posts
    50

    Smile Story Problems!

    I am having a lot of trouble with story problems, especially creating the equations. Help please.

    1. there are twice as many boys as girls in mrs. taylors class. When 3 new girls join her class, she will have 24 students. How many boys and girls were originally in her class?

    2. The local cable television company offers two deals. Basic cable tv service with one movie channel costs $35 per month. Basic service with two movie channels costs $45 per month. Find the charge for the basic cable service and the charge for each movie channel.

    3. With a tail wind, a plane traveled 800 mi. in 5 hrs. With a head wind, the plane traveled the same distance in 8 hrs. Find the plane's air speed and the speed of the wind. Assume they're both constant.

    4. The units of a two-digit number are reversed is twice the tens digit. If the digits are reversed, the new number is 36 less than the original number. Find the original number.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Aug 2008
    Posts
    530
    Quote Originally Posted by peachgal View Post
    I am having a lot of trouble with story problems, especially creating the equations. Help please.

    1. there are twice as many boys as girls in mrs. taylors class. When 3 new girls join her class, she will have 24 students. How many boys and girls were originally in her class?
    Let number of girls = x
    so, number of boys = 2x

    total students,

    x + 2x + 3 = 24

    now, solve and finish up.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Aug 2008
    Posts
    530
    Quote Originally Posted by peachgal View Post
    I am having a lot of trouble with story problems, especially creating the equations. Help please.

    2. The local cable television company offers two deals. Basic cable tv service with one movie channel costs $35 per month. Basic service with two movie channels costs $45 per month. Find the charge for the basic cable service and the charge for each movie channel.
    Let charge for basic cable = $ x
    Let charge for each movie channel = $ y

    According to first situation,

    x + y = 35

    According to second situation,

    x + 2y = 45

    Now solve these two equations. Did you get it???
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Banned
    Joined
    Aug 2008
    Posts
    530
    Quote Originally Posted by peachgal View Post
    I am having a lot of trouble with story problems, especially creating the equations. Help please.

    3. With a tail wind, a plane traveled 800 mi. in 5 hrs. With a head wind, the plane traveled the same distance in 8 hrs. Find the plane's air speed and the speed of the wind. Assume they're both constant.
    Let speed of plane = x km/h
    Let speed of wind = y km/h

    Speed of plane with tail wind = (x + y) km/h

    Speed of plane with head wind = (x - y) km/h

    Distance travelled by plane with tail wind = speed . time

    800 = (x + y)(5)

    so, x + y = 160 ................(1)

    Distance travelled by plane with head wind = speed . time

    800 = (x - y)(8)

    so, x - y = 100 ..................(2)

    Solve these two equations, got it now???
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Banned
    Joined
    Aug 2008
    Posts
    530
    Quote Originally Posted by peachgal View Post
    I am having a lot of trouble with story problems, especially creating the equations. Help please.

    4. The units of a two-digit number are reversed is twice the tens digit. If the digits are reversed, the new number is 36 less than the original number. Find the original number.
    Let unit's digit = x
    ten's digit = y
    Number = 10y + x
    Reversed number = 10x + y
    According to first condition, y = 2x ................(1)

    Reversed number = original number - 36

    10x + y = 10y + x - 36

    Put the value of y in this equation from eqn(1)

    10x + 2x = 10(2x) + x - 36

    x = 4
    y = 8

    Number = 10(8) + 4 = 84
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with story problems!
    Posted in the Algebra Forum
    Replies: 3
    Last Post: July 19th 2009, 03:47 PM
  2. Help with story problems!
    Posted in the Algebra Forum
    Replies: 2
    Last Post: July 12th 2009, 09:05 PM
  3. Story Problems
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 11th 2008, 04:45 PM
  4. Story Problems
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: May 7th 2007, 03:31 AM
  5. 4 story problems I need help with.
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: January 31st 2007, 09:16 PM

Search Tags


/mathhelpforum @mathhelpforum