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Math Help - Frustrating Word Problem!

  1. #1
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    Frustrating Word Problem!

    Howard has three times as much money as Ronald. If Howard gives Ronald $50, Ronald will then have three times as much money as Howard. How many money do the two of them have together?

    My work...

    H = 3R

    (Since Howard has 3 times as much money as Ronald).

    Then, since H gives away 50, he must have H - 50 and Ronald who has 3R must have 3R + 50 (since he was just given 50). But, this 3R + 50 (Ronald's money) is 3 times the money Howard has which was H - 50. So...

    3(H-50) = 3R + 50

    Where am I going wrong?!!?! Frustrating!

    I know the answer is R = $25 and H = $75 which makes sense but my equation does not come with Ronald having $25...
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  2. #2
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    Quote Originally Posted by fifthrapiers View Post
    howard has three times as much money as ronald. If howard gives ronald $50, ronald will then have three times as much money as howard. How many money do the two of them have together?

    My work...

    H = 3r

    (since howard has 3 times as much money as ronald).

    Then, since h gives away 50, he must have h - 50 and ronald who has 3r must have 3r + 50 (since he was just given 50). But, this 3r + 50 (ronald's money) is 3 times the money howard has which was h - 50. So...

    3(h-50) = 3r + 50

    where am i going wrong?!!?! Frustrating!

    I know the answer is r = $25 and h = $75 which makes sense but my equation does not come with ronald having $25...
    h = 3r

    3(h-50) = r+50

    3h-150 = r+50

    3(3r)-150 = r+50

    9r-150 = r+50

    8r = 200

    r = 25

    h = 75
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  3. #3
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    The first equation seems correct: H=3R

    Skeeter got the second one.
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