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Math Help - Word Problem

  1. #1
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    Word Problem

    If someone can give me a hint of how to set up the formula that would be great. I believe its a Arithmetic sequence formula, and I can figure it out just by adding the sequence for the answer to be 6 years.

    Mei's salary starts at $16000 per year with annual raises of $1500. Janet's starting salary is $19300 with annual raises of $950 per year. After how many years will the two women be earning the same salary?
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Tomanator View Post
    If someone can give me a hint of how to set up the formula that would be great. I believe its a Arithmetic sequence formula, and I can figure it out just by adding the sequence for the answer to be 6 years.

    Mei's salary starts at $16000 per year with annual raises of $1500. Janet's starting salary is $19300 with annual raises of $950 per year. After how many years will the two women be earning the same salary?
    Hello Tomanator,

    Here's a big hint:

    16000+1500y=19300+950y
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  3. #3
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    Hello, Tomanator!

    Mei's salary starts at $16,000 per year with annual raises of $1,500.
    Janet's starting salary is $19,300 with annual raises of $950 per year.
    After how many years will the two women be earning the same salary?

    Mei's salary is $16,000 plus a $1,500 raise per year for x years.

    . . In her x^{th} year, her salary is: . 16,\!000 + 1,\!500x dollars.


    Janet's salary is $19,300 plus a $950 raise per year for x years.

    . . In her x^{th} year, her salary is: . 19,\!300 + 950x dollars.


    When are the two salaries equal? . . 16,\!000 + 1,\!500x \;=\;19,\!300 + 950x

    Now solve for x.

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  4. #4
    A riddle wrapped in an enigma
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    Quote Originally Posted by Soroban View Post
    Hello, Tomanator!


    Mei's salary is $16,000 plus a $1,500 raise per year for x years.

    . . In her x^{th} year, her salary is: . 16,\!000 + 1,\!500x dollars.


    Janet's salary is $19,300 plus a $950 raise per year for x years.

    . . In her x^{th} year, her salary is: . 19,\!300 + 950x dollars.


    When are the two salaries equal? . . 16,\!000 + 1,\!500x \;=\;19,\!300 + 950x

    Now solve for x.
    Better explanation, Soroban.
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  5. #5
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    Thank you both, great explination
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