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    PButterandJ's Avatar
    PButterandJ Posts: 1, Reputation: 1
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    #1

    Oct 3, 2009, 01:13 AM
    Word problems
    A bicyclist traveling at 18 mph over takes an in-line skater who is traveling at 10 mph. From the stating point does the bicyclist overtake the in-line skater?:confused:




    A stamp collection consists of $.3, $.8, and $.13 stamps. The numberof $.8 stamps is three less than twice the number of $.3 stamps. The number of $.13 stamps is twice the number of $.8 stamps. The total value of all the stamps is $2.53. Find the number of the $.3 stamps in the collection.
    ROLCAM's Avatar
    ROLCAM Posts: 1,420, Reputation: 23
    Ultra Member
     
    #2

    Oct 3, 2009, 04:57 AM

    1) Let 3 cents stamps be x
    2) Let 8 cents stamps be y
    3) Let 13 cents stamps be z

    So:- 3x + 8y + 13z = 253 cents

    ______________________________________

    y + 3 = 2x

    ______________________________________

    z = 2y

    ______________________________________

    Find x ?

    1) 3x + 8y + 13z = 253
    2) 3x + 8y + 26y = 253
    3) 3x + 34y = 253

    4) y + 3 = 2x
    5) y = 2x - 3

    6) 34y = 68x - 102

    7) 3x + 34y = 253

    8) 3x +68x -102 = 253
    9) 71x = 253 +102
    10) 71x = 355
    11) x = 5

    The answer is 5 (3 cents stamps) in the collection.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #3

    Oct 3, 2009, 08:29 AM

    Quote Originally Posted by PButterandJ
    A bicyclist traveling at 18 mph over takes an in-line skater who is traveling at 10 mph. From the stating point does the bicyclist overtake the in-line skater?:confused:
    I don't understand the question well here... The facts are such that the bicyclist have already overtaken the skater... I guess that the answer to the question is 'yes'.

    For the second one, ROLCAM already showed how to get the answer.

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