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Math Help - Formulating an equation

  1. #1
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    Unhappy Formulating an equation

    A man goes to the bank with a $260 check.
    He tells the teller he needs 3 times the amount of dollar bills
    as much as 5 dollar bills and half as much of the 5 dollar bills
    in 10 dollar bills.

    Need desparate help to solve this.
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  2. #2
    Flow Master
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    Quote Originally Posted by Franc View Post
    A man goes to the bank with a $260 check.
    He tells the teller he needs 3 times the amount of dollar bills
    as much as 5 dollar bills and half as much of the 5 dollar bills
    in 10 dollar bills.

    Need desparate help to solve this.
    x = number of $1 bills, y = number of $5 bills, z = number of $10 bills.

    Solve simultaneously:

    x = 3y .... (1)

    y = z/2 .... (2)

    x + y + z = 260 .... (3)
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by Franc View Post
    A man goes to the bank with a $260 check.
    He tells the teller he needs 3 times the amount of dollar bills
    as much as 5 dollar bills and half as much of the 5 dollar bills
    in 10 dollar bills.

    Need desparate help to solve this.
    This is what I think you have stated:

    Let x = number of $5 bills

    Let 3x = number of $1 bills

    Let (1/2) x = number of $10 bills

    x + 3x + (1/2) x = 260

    You should now be able to complete.

    Edit: I'm gettin' 'em in too slowly tonight!
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  4. #4
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    Let's be x-number of $5 bills, then number of $1 bills will be 3x, and $10 bills x/2. Now let's count the money; $5 *x+ $1 * 3x+ $10 * x/2=260; 5x+3x+5x=260; 13x=260; x=20. Answer: there are 20 $5 bills, 60 $1 bills, 10 $10 bills. Checking: 20*5+60+10*10=260
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