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Math Help - Clavius beggar equation

  1. #1
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    Unhappy Clavius beggar equation

    If I were to give 7 cents to each of the beggars at my door, I would have 24 cents left. I lack 32 cents of being able to give them 9 cents each. How many beggars are there and how much money have I?

    I was given the answers but am having a hard time making an equation of the problem. Help!!!

    Lost
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  2. #2
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    Quote Originally Posted by linhjade View Post
    If I were to give 7 cents to each of the beggars at my door, I would have 24 cents left. I lack 32 cents of being able to give them 9 cents each. How many beggars are there and how much money have I?

    I was given the answers but am having a hard time making an equation of the problem. Help!!!

    Lost
    Step1: Look for questions so we know what this question wants.

    How many beggars are there and how much money have I?
    Step2: Ok, let's call the unknown number of beggars by a variable. I pick b.

    How much money do start with? Let's call this m.

    So

    b = number of beggars (in people)
    m = amount of cash I started with (in cents)


    Step3: Translate sentences from the story into math statements.

    If I were to give 7 cents to each of the beggars at my door, I would have 24 cents left
    This is a messy sentence, let's be careful with this one.

    I start with some money. Then I lose some (7 cents to each beggar) because I gave it away. Then I have 24 cents left.

    Math: (my starting money) - (7 cents to each beggar) = 24 cents

    m - 7b = 24


    See if you can put together another math statement from the second sentence, and then try and solve for b and m.
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  3. #3
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    re: second equation

    m-32=9(b)
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  4. #4
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    Question 2nd equation

    Is this correct?
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  5. #5
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    Quote Originally Posted by linhjade View Post
    If I were to give 7 cents to each of the beggars at my door, I would have 24 cents left. I lack 32 cents of being able to give them 9 cents each. How many beggars are there and how much money have I?

    I was given the answers but am having a hard time making an equation of the problem. Help!!!

    Lost

    No its not correct

    Lets say you have b beggars and m amount of money

    For first part

    m - 7b = 24 (money was left)

    For second part

    9b -m =32 (you lacked in money )


    2b = 56

    b= 28

    m = 220
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