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Math Help - Algebra I Word Problem

  1. #1
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    Algebra I Word Problem

    My son is doing an Algebra I course and has come across an issue with a word problem. I used to excell at math, but apparently that knowledge has begun to slip my mind. Anyhow, here's the problem and any assistance would be appreciated.

    Solve each problem using the two given facts.

    1. Find the number of full 8 hour shifts that Maria worked last month.

    (1) She worked twice as many 6 hour shifts as 8 hour shifts.
    (2) She worked a total of 280 hours.
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  2. #2
    Member Last_Singularity's Avatar
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    Quote Originally Posted by Stoic View Post
    My son is doing an Algebra I course and has come across an issue with a word problem. I used to excell at math, but apparently that knowledge has begun to slip my mind. Anyhow, here's the problem and any assistance would be appreciated.

    Solve each problem using the two given facts.

    1. Find the number of full 8 hour shifts that Maria worked last month.

    (1) She worked twice as many 6 hour shifts as 8 hour shifts.
    (2) She worked a total of 280 hours.
    Denote x to be the number of 6-hour shifts that she worked and y to be the number of 8-hour shifts that she worked.

    From the facts that you gave us, we know:
    (1) x = 2y
    (2) 6x+8y = 280

    So then plugging (1) into (2), we get:
    6(2y) + 8y = 20y = 280

    Solve for y from there
    Last edited by Last_Singularity; January 15th 2009 at 06:27 PM.
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  3. #3
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    Quote Originally Posted by Stoic View Post
    My son is doing an Algebra I course and has come across an issue with a word problem. I used to excell at math, but apparently that knowledge has begun to slip my mind. Anyhow, here's the problem and any assistance would be appreciated.

    Solve each problem using the two given facts.

    1. Find the number of full 8 hour shifts that Maria worked last month.

    (1) She worked twice as many 6 hour shifts as 8 hour shifts.
    (2) She worked a total of 280 hours.

    Suppose ,the number of full 8 hour shifts that Maria worked last month is x.(x is a positive integer)

    so using the fact (1) , worked hours of 6 hour shifts is 2x

    using the fact (2),2x*6+x*8=280.

    so U can solve it.
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  4. #4
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    Thank you very much. Hopefully he will be able to figure out the rest of his lesson or I can help him with it.

    Thanks again.
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  5. #5
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    Quote Originally Posted by Stoic View Post
    Thank you very much. Hopefully he will be able to figure out the rest of his lesson or I can help him with it.

    Thanks again.
    Welcome ,.
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