Jenny went shoe shopping. Now she has 5 more pairs than her brother. Together they have 25 pairs. Ho

Discussion in 'Calculator Requests' started by math_celebrity, Oct 28, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Jenny went shoe shopping. Now she has 5 more pairs than her brother. Together they have 25 pairs. How many pairs does Jenny have and how many pairs does her brother have?

    Let j be the number of shoes Jenny has and b be the number of s hoes her brother has. Set up 2 equations:
    (1) b + j = 25
    (2) j = b + 5

    Substitute (2) into (1)
    b + (b + 5) = 25

    Group the b terms
    2b + 5 = 25

    Subtract 5 from each side
    2b = 20

    Divide each side by b
    b = 10

    Substitute b = 10 into (2)
    j = 10 + 5
    j = 15
     

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