Mathematics

Question

Abby, Julia, Kim, and Jeanie had collected donations following a walkathon. Abby had collected 3 times as much as Julia. Kim had collected $25 less than Abby. Jeanie had collected twice as much as Abby. Then Jeanie received a check from her grandmother for $55, which gave her the same combined total amount that Abby, Julia, and Kim had collected. Find the amount that Julia collected. A. Write an expression to represent the amount Abby collected in terms of the amount Julia collected

1 Answer

  • Answer:

    $11.4

    Step-by-step explanation:

    P = collection by abby

    Q = collection done by julia

    R = collection done by kim

    S = collection done by jeanie

    Given that :

    collection of abby = 3 x collection of julia

    P = 3 Q

    so

    Q = P/3

    collection of kim = collection of abby - $25

    R = P - $25

    collection of jeanie = 2 x collection of abby

    S = 2 P


    also , P + Q + R = $55

    P + (P/3) + (P - $25) = $55

    P = $34.3


    Q = collection of julia = P/3 = $34.3/3 = $11.4


    P = 3 Q


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