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Arithmetric Sequence word problem. Thanks!

  1. Jul 19, 2011 #1
    1. The problem statement, all variables and given/known data

    Ok here is the problem:

    100 loaves of bread are to be distributed such that the quantities form an arithmetric sequence, among 5 people. The first 2 together receive 1/7 of the remaining 3, together. How much (loaves and fractions) does each receive?




    2. Relevant equations



    3. The attempt at a solution

    So, I have this as the form:

    a1, a1+d, a1+2d, a1+3d, a1+4d

    Is that correct?

    How do I get d?

    Any help on solving this would be great. Thanks!
     
  2. jcsd
  3. Jul 19, 2011 #2
    How much do the first two receive? How much do the remaining three receive? What is the relationship between these two quantities? This will give you one equation for a1 and d.

    How much do all the people receive (in terms of a1 and d)? This will give you another equation.

    Solve this linear system of two equations with two unknowns w.r.t. a1 and d.
     
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