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Math Help - sequences word problem help

  1. #1
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    sequences word problem help

    A salesman is paid commission of 10 per week for each life insurance policy that he has sold. Each week he sells one new policy so that he is paid 10 commission in the first week, 20 commission in the second week, 30 commission in the third week and so on.

    (a) Find his total commission in the first year of 52 weeks.

    (b) In the second year the commission increases to 11 per week on new policies sold, although it remains at 10 per week for policies sold in the first year. He continues to sell one policy per week. Show that he is paid 542 in the second week of his second year.

    (c) Find the total commission paid to him in the second year.
    I worked out 'a' to be 13780, which is correct, but i am stuck on 'b' , i looked at the answer and working but is does not make sense to me can someone please explain why =

    (b) Commission = policies for year 1 + policies for 2nd week of year 2 =520+22=542 this is the answer given at the back of my book.

    if worked out the total commission of the first year to be 13780 , than should it not be 13780+22?

    where did they get 520 from ?
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by Tweety View Post
    I worked out 'a' to be 13780, which is correct, but i am stuck on 'b' , i looked at the answer and working but is does not make sense to me can someone please explain why =

    (b) Commission = policies for year 1 + policies for 2nd week of year 2 =520+22=542 this is the answer given at the back of my book.

    if worked out the total commission of the first year to be 13780 , than should it not be 13780+22?

    where did they get 520 from ?
    You are required to find commision just for 2 nd week NOT the total

    Hence For policies of 1st year commision for that week
    =No. of policies * 10
    =52*10 =520
    And for the ones taken in 2nd year
    Commission = 22

    total = 542
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  3. #3
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    Quote Originally Posted by ADARSH View Post
    You are required to find commision just for 2 nd week NOT the total

    Hence For policies of 1st year commision for that week
    =No. of policies * 10
    =52*10 =520
    And for the ones taken in 2nd year
    Commission = 22

    total = 542
    but 52 weeks equals a whole year? I am still confused, and the commission for the second week for the first year is 20 isn't it?
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  4. #4
    Like a stone-audioslave ADARSH's Avatar
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    Lets see it together
    1- No. of weeks in first year = 52

    2-So no. of policies in 1st year(every week new one) = 52

    3-Commision for those in first year 10$ per week


    4- No. of weeks in Second year = 2

    5-No of policies for it = 2

    6-Commision for these 2 weeks was 11 $ per week
    Incase if you have trouble in any step(s) tell the step number(s)
    .................................................. .......................

    We are concerned with the commision earned in 2nd week ONLY

    Now for this particular week(2nd week),The commission

    = Commision from policies of 1st year + Commision from the policies of 1st and 2nd week of 2nd year


    = No. of policies of first year * 10 + No. of policies of second year * 11

    = 52 * 10 + 2 * 11 = 542
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